Journal Articles & Preprints
Publications
1.
Vladimir Juričić, Pablo Reiser
Tilted Dirac superconductor at quantum criticality: restoration of Lorentz symmetry Journal Article
In: JHEP, vol. 2024, no. 181, pp. 22, 2024.
@article{nokey,
title = {Tilted Dirac superconductor at quantum criticality: restoration of Lorentz symmetry},
author = {Vladimir Juričić and Pablo Reiser},
url = {https://link.springer.com/article/10.1007/JHEP02(2024)181
https://arxiv.org/abs/2311.12797},
doi = {10.1007/JHEP02(2024)181},
year = {2024},
date = {2024-02-27},
urldate = {2024-02-27},
journal = {JHEP},
volume = {2024},
number = {181},
pages = {22},
abstract = {Lorentz symmetry appears as a quite robust feature of the strongly interacting Dirac materials even though the lattice interactions break such a symmetry. We here demonstrate that the Lorentz symmetry is restored at the quantum-critical point (QCP) separating the tilted Dirac semimetal, breaking this symmetry already at the noninteracting level, from a gapped s-wave superconducting instability. To this end, we employ a one-loop ϵ = (3 − D)-expansion close to the D = 3 upper critical dimension of the corresponding Gross-Neveu-Yukawa field theory. In particular, we show that the tilt parameter is irrelevant and ultimately vanishes at the QCP separating the two phases. In fact, as we argue here, such a Lorentz symmetry restoration may be generic for the strongly interacting tilted Dirac semimetals, irrespective of whether they feature mirror-symmetric or mirror-asymmetric tilting, and is also insensitive to whether the instability represents an insulator or a gapped superconductor. The proposed scenario can be tested in the quantum Monte Carlo simulations of the interacting tilted Dirac fermion lattice models.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Lorentz symmetry appears as a quite robust feature of the strongly interacting Dirac materials even though the lattice interactions break such a symmetry. We here demonstrate that the Lorentz symmetry is restored at the quantum-critical point (QCP) separating the tilted Dirac semimetal, breaking this symmetry already at the noninteracting level, from a gapped s-wave superconducting instability. To this end, we employ a one-loop ϵ = (3 − D)-expansion close to the D = 3 upper critical dimension of the corresponding Gross-Neveu-Yukawa field theory. In particular, we show that the tilt parameter is irrelevant and ultimately vanishes at the QCP separating the two phases. In fact, as we argue here, such a Lorentz symmetry restoration may be generic for the strongly interacting tilted Dirac semimetals, irrespective of whether they feature mirror-symmetric or mirror-asymmetric tilting, and is also insensitive to whether the instability represents an insulator or a gapped superconductor. The proposed scenario can be tested in the quantum Monte Carlo simulations of the interacting tilted Dirac fermion lattice models.
2.
Olivera Miskovic, Rodrigo Olea, David Rivera-Betancour, Konstantinos Siampos, Marios Petropoulos
Chern-Simons action and the Carrollian Cotton tensors Journal Article
In: JHEP, vol. 2023, iss. 12, no. 130, pp. 46, 2023.
@article{nokey,
title = {Chern-Simons action and the Carrollian Cotton tensors},
author = {Olivera Miskovic and Rodrigo Olea and David Rivera-Betancour and Konstantinos Siampos and Marios Petropoulos},
url = {https://arxiv.org/abs/2310.19929
https://inspirehep.net/literature/2715737},
doi = {https://doi.org/10.1007/JHEP12(2023)130},
year = {2023},
date = {2023-12-19},
urldate = {2023-12-19},
journal = {JHEP},
volume = {2023},
number = {130},
issue = {12},
pages = {46},
abstract = {In three-dimensional pseudo-Riemannian manifolds, the Cotton tensor arises as the variation of the gravitational Chern-Simons action with respect to the metric. It is Weyl-covariant, symmetric, traceless and covariantly conserved. Performing a reduction of the Cotton tensor with respect to Carrollian diffeomorphisms in a suitable frame, one discloses four sets of Cotton Carrollian relatives, which are conformal and obey Carrollian conservation equations. Each set of Carrollian Cotton tensors is alternatively obtained as the variation of a distinct Carroll-Chern-Simons action with respect to the degenerate metric and the clock form of a strong Carroll structure. The four Carroll-Chern-Simons actions emerge in the Carrollian reduction of the original Chern-Simons ascendant. They inherit its anomalous behaviour under diffeomorphisms and Weyl transformations. The extremums of these Carrollian actions are commented and illustrated.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
In three-dimensional pseudo-Riemannian manifolds, the Cotton tensor arises as the variation of the gravitational Chern-Simons action with respect to the metric. It is Weyl-covariant, symmetric, traceless and covariantly conserved. Performing a reduction of the Cotton tensor with respect to Carrollian diffeomorphisms in a suitable frame, one discloses four sets of Cotton Carrollian relatives, which are conformal and obey Carrollian conservation equations. Each set of Carrollian Cotton tensors is alternatively obtained as the variation of a distinct Carroll-Chern-Simons action with respect to the degenerate metric and the clock form of a strong Carroll structure. The four Carroll-Chern-Simons actions emerge in the Carrollian reduction of the original Chern-Simons ascendant. They inherit its anomalous behaviour under diffeomorphisms and Weyl transformations. The extremums of these Carrollian actions are commented and illustrated.
3.
Diego H. Correa, Alberto Faraggi, Wolfgang Mück, Leopoldo A. Pando Zayas, Guillermo A. Silva
Beyond AdS_2/dCFT_1: Insertions in Two Wilson Loops Journal Article
In: JHEP, vol. 2023, no. 10, pp. 127, 2023.
@article{,
title = {Beyond AdS_2/dCFT_1: Insertions in Two Wilson Loops},
author = {Diego H. Correa and Alberto Faraggi and Wolfgang Mück and Leopoldo A. Pando Zayas and Guillermo A. Silva},
url = {https://arxiv.org/abs/2303.17635},
doi = {10.1007/JHEP10(2023)127},
year = {2023},
date = {2023-10-20},
urldate = {2023-10-20},
journal = {JHEP},
volume = {2023},
number = {10},
pages = {127},
abstract = {We consider two-point correlators of local operator insertions in a system of two Wilson-Maldacena loops in N=4 supersymmetric Yang-Mills theory on both sides of the AdS/CFT correspondence. On the holographic side the correlator of two Wilson-Maldacena loops is given by a classical string world-sheet which in one phase connects two asymptotically AdS_2 regions and in the other phase is given by two disconnected AdS_2 caps; this configuration breaks supersymmetry as well as conformal invariance. We present a complete systematic account of the string world-sheet fluctuations, including the fermionic sector, and study the behavior of the holographic two-point correlators. On the field theory side we compute certain two-point correlators of local operator insertions by resumming sets of ladder diagrams. Our results demonstrate the efficacy of previously developed methods in tackling this non-conformal, non-susy regime.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
We consider two-point correlators of local operator insertions in a system of two Wilson-Maldacena loops in N=4 supersymmetric Yang-Mills theory on both sides of the AdS/CFT correspondence. On the holographic side the correlator of two Wilson-Maldacena loops is given by a classical string world-sheet which in one phase connects two asymptotically AdS_2 regions and in the other phase is given by two disconnected AdS_2 caps; this configuration breaks supersymmetry as well as conformal invariance. We present a complete systematic account of the string world-sheet fluctuations, including the fermionic sector, and study the behavior of the holographic two-point correlators. On the field theory side we compute certain two-point correlators of local operator insertions by resumming sets of ladder diagrams. Our results demonstrate the efficacy of previously developed methods in tackling this non-conformal, non-susy regime.
4.
Felipe Diaz, Gabriel Arenas-Henriquez, Adolfo Cisterna, Ruth Gregory
Accelerating black holes in 2 + 1 dimensions: holography revisited Journal Article
In: JHEP, pp. 28, 2023.
@article{nokey,
title = {Accelerating black holes in 2 + 1 dimensions: holography revisited},
author = {Felipe Diaz and Gabriel Arenas-Henriquez and Adolfo Cisterna and Ruth Gregory },
url = {https://arxiv.org/abs/2308.00613},
doi = {https://doi.org/10.1007/JHEP09(2023)122},
year = {2023},
date = {2023-09-19},
urldate = {2023-09-19},
journal = {JHEP},
pages = {28},
abstract = {This paper studies the holographic description of 2 + 1-dimensional accelerating black holes. We start by using an ADM decomposition of the coordinates suitable
to identify boundary data. As a consequence, the holographic CFT lies in a fxed curved background which is described by the holographic stress tensor of a perfect fuid. We compute the Euclidean action ensuring that the variational principle is satisfed in the presence of the domain wall. This requires including the Gibbons-Hawking-York term associated with internal boundaries on top of the standard renormalised AdS3 action. Finally, we compute the entanglement entropy by frstly mapping the solution to the Rindler-AdS spacetime in which the Ryu-Takayanagi surface is easily identifable. We found that as the acceleration increases the accessible region of the conformal boundary decreases and also the entanglement entropy, indicating a loss of information in the dual theory due to acceleration.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
This paper studies the holographic description of 2 + 1-dimensional accelerating black holes. We start by using an ADM decomposition of the coordinates suitable
to identify boundary data. As a consequence, the holographic CFT lies in a fxed curved background which is described by the holographic stress tensor of a perfect fuid. We compute the Euclidean action ensuring that the variational principle is satisfed in the presence of the domain wall. This requires including the Gibbons-Hawking-York term associated with internal boundaries on top of the standard renormalised AdS3 action. Finally, we compute the entanglement entropy by frstly mapping the solution to the Rindler-AdS spacetime in which the Ryu-Takayanagi surface is easily identifable. We found that as the acceleration increases the accessible region of the conformal boundary decreases and also the entanglement entropy, indicating a loss of information in the dual theory due to acceleration.
to identify boundary data. As a consequence, the holographic CFT lies in a fxed curved background which is described by the holographic stress tensor of a perfect fuid. We compute the Euclidean action ensuring that the variational principle is satisfed in the presence of the domain wall. This requires including the Gibbons-Hawking-York term associated with internal boundaries on top of the standard renormalised AdS3 action. Finally, we compute the entanglement entropy by frstly mapping the solution to the Rindler-AdS spacetime in which the Ryu-Takayanagi surface is easily identifable. We found that as the acceleration increases the accessible region of the conformal boundary decreases and also the entanglement entropy, indicating a loss of information in the dual theory due to acceleration.
5.
Felipe Diaz, Adolfo Cisterna, Robert B. Mann, Julio Oliva
Exploring Accelerating Hairy Black Holes in 2+1 Dimensions: The Asymptotically Locally Anti-de Sitter Class and its Holography Journal Article
In: JHEP, vol. 2023, iss. 11, no. 73, pp. 45, 2023.
@article{nokey,
title = {Exploring Accelerating Hairy Black Holes in 2+1 Dimensions: The Asymptotically Locally Anti-de Sitter Class and its Holography},
author = {Felipe Diaz and Adolfo Cisterna and Robert B. Mann and Julio Oliva},
url = {https://arxiv.org/abs/2309.05559
https://link.springer.com/article/10.1007/JHEP11(2023)073},
doi = {10.1007/JHEP11(2023)073},
year = {2023},
date = {2023-09-11},
urldate = {2023-09-11},
journal = {JHEP},
volume = {2023},
number = {73},
issue = {11},
pages = {45},
abstract = {In the realm of lower-dimensional accelerating spacetimes, it is well-established that the presence of domain walls, which are co-dimension one topological defects, is a necessary condition for their construction. We expand the geometric framework by adding a conformally coupled scalar field. This endeavor leads to the identification of several new families of three-dimensional accelerating spacetimes with asymptotically locally anti-de Sitter (AdS) behavior. Notably, one of these solutions showcases a hairy generalization of the accelerating BTZ black hole. This solution is constructed at both slow and rapid phases of acceleration, and its connection with established vacuum spacetime models is explicitly elucidated. The inclusion of the scalar field imparts a non-constant Ricci curvature to the domain wall, thereby rendering these configurations particularly suitable for the construction of two-dimensional quantum black holes. To establish a well-posed variational principle in the presence of the domain wall, two essential steps are undertaken. First, we extend the conventional renormalized AdS3 action to accommodate the presence of the scalar field. Second, to establish a well-posed variational principle, we extend the renormalized AdS3 action to include the scalar field and incorporate the Gibbons--Hawking--York term for internal boundaries and domain wall tension. We engage in holographic computations, thereby determining the explicit form of the holographic stress tensor. In this context, the stress tensor can be expressed as that of a perfect fluid situated on a curved background. Additionally, it paves the road to ascertain the spacetime mass. Finally, we close by demonstrating the existence of three-dimensional accelerating spacetimes with asymptotically locally flat and asymptotically locally de Sitter geometries, particularly those embodying black holes.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
In the realm of lower-dimensional accelerating spacetimes, it is well-established that the presence of domain walls, which are co-dimension one topological defects, is a necessary condition for their construction. We expand the geometric framework by adding a conformally coupled scalar field. This endeavor leads to the identification of several new families of three-dimensional accelerating spacetimes with asymptotically locally anti-de Sitter (AdS) behavior. Notably, one of these solutions showcases a hairy generalization of the accelerating BTZ black hole. This solution is constructed at both slow and rapid phases of acceleration, and its connection with established vacuum spacetime models is explicitly elucidated. The inclusion of the scalar field imparts a non-constant Ricci curvature to the domain wall, thereby rendering these configurations particularly suitable for the construction of two-dimensional quantum black holes. To establish a well-posed variational principle in the presence of the domain wall, two essential steps are undertaken. First, we extend the conventional renormalized AdS3 action to accommodate the presence of the scalar field. Second, to establish a well-posed variational principle, we extend the renormalized AdS3 action to include the scalar field and incorporate the Gibbons--Hawking--York term for internal boundaries and domain wall tension. We engage in holographic computations, thereby determining the explicit form of the holographic stress tensor. In this context, the stress tensor can be expressed as that of a perfect fluid situated on a curved background. Additionally, it paves the road to ascertain the spacetime mass. Finally, we close by demonstrating the existence of three-dimensional accelerating spacetimes with asymptotically locally flat and asymptotically locally de Sitter geometries, particularly those embodying black holes.
6.
Yoel Parra-Cisterna, Olivera Miskovic, Rodrigo Olea
Asymptotic Black Holes and Conformal Mass in AdS Quadratic Curvature Gravity Journal Article
In: PRD, vol. 108, iss. 6, pp. 38, 2023.
@article{nokey,
title = {Asymptotic Black Holes and Conformal Mass in AdS Quadratic Curvature Gravity},
author = {Yoel Parra-Cisterna and Olivera Miskovic and Rodrigo Olea},
url = {https://arxiv.org/abs/2307.00554},
doi = {10.1103/PhysRevD.108.064012},
year = {2023},
date = {2023-09-07},
urldate = {2023-09-07},
journal = {PRD},
volume = {108},
issue = {6},
pages = {38},
abstract = {We explore the consistent truncation of conserved charges in Quadratic Curvature Gravity (QCG) with anti-de Sitter asymptotics to the linear order in the Weyl tensor. The QCG action is given by the most general curvature-squared corrections to Einstein gravity, and it is suitably rendered finite by the addition of extrinsic counterterms (Kounterterms). The conserved charges derived from this action are, as a consequence, nonlinear in the spacetime Riemann tensor. A detailed analysis of the falloff of generic static solutions leads to a charge proportional to the electric part of the Weyl tensor, without loss of information on the energy of the system. The procedure followed provides firmer ground to the extension of the notion of Conformal Mass to higher-curvature gravity, as it appears as associated to a renormalized action. We observe that criticality condition in QCG poses an obstruction to the charge linearization, in contrast to previous results in Lovelock gravity, where degeneracy condition plays a key role.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
We explore the consistent truncation of conserved charges in Quadratic Curvature Gravity (QCG) with anti-de Sitter asymptotics to the linear order in the Weyl tensor. The QCG action is given by the most general curvature-squared corrections to Einstein gravity, and it is suitably rendered finite by the addition of extrinsic counterterms (Kounterterms). The conserved charges derived from this action are, as a consequence, nonlinear in the spacetime Riemann tensor. A detailed analysis of the falloff of generic static solutions leads to a charge proportional to the electric part of the Weyl tensor, without loss of information on the energy of the system. The procedure followed provides firmer ground to the extension of the notion of Conformal Mass to higher-curvature gravity, as it appears as associated to a renormalized action. We observe that criticality condition in QCG poses an obstruction to the charge linearization, in contrast to previous results in Lovelock gravity, where degeneracy condition plays a key role.
7.
Francisco Rojas, Hernán A. González, Gastón Giribet, Laura Donnay, Andrea Puhm
Celestial open strings at one-loop Journal Article Forthcoming
In: pp. 23, Forthcoming.
@article{nokey,
title = {Celestial open strings at one-loop},
author = {Francisco Rojas and Hernán A. González and Gastón Giribet and Laura Donnay and Andrea Puhm},
url = {https://arxiv.org/abs/2307.03551},
year = {2023},
date = {2023-07-07},
urldate = {2023-10-10},
pages = {23},
abstract = {We study celestial amplitudes in string theory at one-loop. Celestial amplitudes describe scattering processes of boost eigenstates and relate to amplitudes in the more standard basis of momentum eigenstates through a Mellin transform. They are thus sensitive to both the ultraviolet and the infrared, which raises the question of how to appropriately take the field theory limit of string amplitudes in the celestial basis. We address this problem in the context of four-dimensional genus-one scattering processes of gluons in open string theory which reach the two-dimensional celestial sphere at null infinity. We show that the Mellin transform commutes with the adequate limit in the worldsheet moduli space and reproduces the celestial one-loop field theory amplitude expressed in the worldline formalism. The dependence on α′ continues to be a simple overall factor in one-loop celestial amplitudes albeit with a power that is shifted by three units with respect to tree-level, thus making manifest that the dimensionless parameter g210/α′3 organizes the loop expansion in the celestial basis.},
keywords = {},
pubstate = {forthcoming},
tppubtype = {article}
}
We study celestial amplitudes in string theory at one-loop. Celestial amplitudes describe scattering processes of boost eigenstates and relate to amplitudes in the more standard basis of momentum eigenstates through a Mellin transform. They are thus sensitive to both the ultraviolet and the infrared, which raises the question of how to appropriately take the field theory limit of string amplitudes in the celestial basis. We address this problem in the context of four-dimensional genus-one scattering processes of gluons in open string theory which reach the two-dimensional celestial sphere at null infinity. We show that the Mellin transform commutes with the adequate limit in the worldsheet moduli space and reproduces the celestial one-loop field theory amplitude expressed in the worldline formalism. The dependence on α′ continues to be a simple overall factor in one-loop celestial amplitudes albeit with a power that is shifted by three units with respect to tree-level, thus making manifest that the dimensionless parameter g210/α′3 organizes the loop expansion in the celestial basis.
8.
Gabriel Arenas-Henriquez, Felipe Diaz, Yerko Novoa
Thermal fluctuations of black holes with non-linear electrodynamics and charged Renyi entropy Journal Article
In: JHEP, vol. 05, pp. 072, 2023.
@article{Arenas-Henriquez:2022ntz,
title = {Thermal fluctuations of black holes with non-linear electrodynamics and charged Renyi entropy},
author = {Gabriel Arenas-Henriquez and Felipe Diaz and Yerko Novoa},
url = {https://arxiv.org/abs/2211.06355},
doi = {10.1007/JHEP05(2023)072},
year = {2023},
date = {2023-05-09},
urldate = {2023-05-09},
journal = {JHEP},
volume = {05},
pages = {072},
abstract = {We extend the charged Renyi entropy to a more general holographic scenario. Coupling an arbitrary non-linear electrodynamics Lagrangian density to AdS gravity, we analyse the thermodynamic features of non-linearly charged hyperbolic black holes and the thermal fluctuations in the grand canonical ensemble. We provide a general form for the relevant holographic quantities that describes a CFT with a global U(1) symmetry in terms of horizon data and we compute the first thermal fluctuation of the charged Renyi entropy. We demonstrate the validity of the formulae through an analytic example; the Coulomb source in 2+1 dimensions. We propose this model to be dual to charged free bosons in 1+1 dimensions. The corrections generates a subleading logarithmic divergence in the entanglement entropy which appear in some Condensed Matter systems with spontaneous symmetry breaking due to IR effects in the ground state. We comment on the possibility of interpreting these results in terms of holography beyond the saddle point approximation.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
We extend the charged Renyi entropy to a more general holographic scenario. Coupling an arbitrary non-linear electrodynamics Lagrangian density to AdS gravity, we analyse the thermodynamic features of non-linearly charged hyperbolic black holes and the thermal fluctuations in the grand canonical ensemble. We provide a general form for the relevant holographic quantities that describes a CFT with a global U(1) symmetry in terms of horizon data and we compute the first thermal fluctuation of the charged Renyi entropy. We demonstrate the validity of the formulae through an analytic example; the Coulomb source in 2+1 dimensions. We propose this model to be dual to charged free bosons in 1+1 dimensions. The corrections generates a subleading logarithmic divergence in the entanglement entropy which appear in some Condensed Matter systems with spontaneous symmetry breaking due to IR effects in the ground state. We comment on the possibility of interpreting these results in terms of holography beyond the saddle point approximation.
9.
Nicolás Grandi, Vladimir Juričić, Ignacio Salazar Landea, Rodrigo Soto-Garrido
Probing holographic flat bands at finite density Unpublished Forthcoming
Forthcoming.
@unpublished{,
title = {Probing holographic flat bands at finite density},
author = {Nicolás Grandi and Vladimir Juričić and Ignacio Salazar Landea and Rodrigo Soto-Garrido},
url = {https://arxiv.org/abs/2304.08603},
year = {2023},
date = {2023-04-17},
urldate = {2023-01-01},
abstract = {Flat band electronic systems exhibit a rich landscape of correlation-driven phases. Motivated by these developments, in this paper, we explicitly include the effects of the chemical potential in a holographic model featuring approximately flat bands. In particular, we explore the phase diagram of this holographic flat band system as a function of the chemical potential. We find that at low temperatures and densities, the system features a nematic phase, transitioning into the Lifshitz phase as the chemical potential or temperature increases. To further characterize the ensuing phases, we investigate the optical conductivity and find that this observable shows strong anisotropies in the nematic phase.},
keywords = {},
pubstate = {forthcoming},
tppubtype = {unpublished}
}
Flat band electronic systems exhibit a rich landscape of correlation-driven phases. Motivated by these developments, in this paper, we explicitly include the effects of the chemical potential in a holographic model featuring approximately flat bands. In particular, we explore the phase diagram of this holographic flat band system as a function of the chemical potential. We find that at low temperatures and densities, the system features a nematic phase, transitioning into the Lifshitz phase as the chemical potential or temperature increases. To further characterize the ensuing phases, we investigate the optical conductivity and find that this observable shows strong anisotropies in the nematic phase.
10.
Hernán A. González, Oriana Labrín, Olivera Miskovic
Kac-Moody symmetry in the light front of gauge theories Journal Article
In: JHEP, vol. 06, pp. 165, 2023.
@article{nokey,
title = {Kac-Moody symmetry in the light front of gauge theories},
author = {Hernán A. González and Oriana Labrín and Olivera Miskovic},
url = {https://arxiv.org/abs/2304.03211},
doi = {10.1007/JHEP06(2023)165},
year = {2023},
date = {2023-04-06},
urldate = {2023-04-06},
journal = {JHEP},
volume = {06},
pages = {165},
abstract = {We discuss the emergence of a new symmetry generator in a Hamiltonian realisation of four-dimensional gauge theories in the flat space foliated by retarded (advanced) time. It generates an asymptotic symmetry that acts on the asymptotic fields in a way different from the usual large gauge transformations. The improved canonical generators, corresponding to gauge and asymptotic symmetries, form a classical Kac-Moody charge algebra with a non-trivial central extension. In particular, we describe the case of electromagnetism, where the charge algebra is the U(1) current algebra with a level proportional to the coupling constant of the theory, κ=4π2/e2. We construct bilinear generators yielding Virasoro algebras on the null boundary. We also provide a non-Abelian generalization of the previous symmetries by analysing the evolution of Yang-Mills theory in Bondi coordinates.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
We discuss the emergence of a new symmetry generator in a Hamiltonian realisation of four-dimensional gauge theories in the flat space foliated by retarded (advanced) time. It generates an asymptotic symmetry that acts on the asymptotic fields in a way different from the usual large gauge transformations. The improved canonical generators, corresponding to gauge and asymptotic symmetries, form a classical Kac-Moody charge algebra with a non-trivial central extension. In particular, we describe the case of electromagnetism, where the charge algebra is the U(1) current algebra with a level proportional to the coupling constant of the theory, κ=4π2/e2. We construct bilinear generators yielding Virasoro algebras on the null boundary. We also provide a non-Abelian generalization of the previous symmetries by analysing the evolution of Yang-Mills theory in Bondi coordinates.
11.
Anthonny F. Canazas Garay, Diego H. Correa, Alberto Faraggi, Guillermo A. Silva
Interpolating boundary conditions on AdS2 Journal Article
In: JHEP, vol. 02, pp. 146, 2023.
@article{Garay:2022szq,
title = {Interpolating boundary conditions on AdS_{2}},
author = {Anthonny F. Canazas Garay and Diego H. Correa and Alberto Faraggi and Guillermo A. Silva},
url = {https://arxiv.org/abs/2210.12043},
doi = {10.1007/JHEP02(2023)146},
year = {2023},
date = {2023-02-14},
urldate = {2023-02-14},
journal = {JHEP},
volume = {02},
pages = {146},
abstract = {We consider two instances of boundary conditions for massless scalars on AdS_{2} that interpolate between the Dirichlet and Neumann cases while preserving scale invariance. Assessing invariance under the full $latex SL(2;mathds{R})$ conformal group is not immediate given their non-local nature. To further clarify this issue, we compute holographically 2- and 4-point correlation functions using the aforementioned boundary conditions and study their transformation properties. Concretely, motivated by the dual description of some multi-parametric families of Wilson loops in ABJM theory, we look at the excitations of an open string around an AdS_{2}⊂AdS_{4}×ℂℙ^{3} worldsheet, thus obtaining correlators of operators inserted along a 1-dimensional defect in N=6 super Chern-Simons-matter theory at strong coupling. Of the two types of boundary conditions analyzed, only one leads to the expected functional structure for conformal primaries; the other exhibits covariance under translations and rescalings but not under special conformal transformations.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
We consider two instances of boundary conditions for massless scalars on AdS2 that interpolate between the Dirichlet and Neumann cases while preserving scale invariance. Assessing invariance under the full $latex SL(2;mathds{R})$ conformal group is not immediate given their non-local nature. To further clarify this issue, we compute holographically 2- and 4-point correlation functions using the aforementioned boundary conditions and study their transformation properties. Concretely, motivated by the dual description of some multi-parametric families of Wilson loops in ABJM theory, we look at the excitations of an open string around an AdS2⊂AdS4×ℂℙ3 worldsheet, thus obtaining correlators of operators inserted along a 1-dimensional defect in N=6 super Chern-Simons-matter theory at strong coupling. Of the two types of boundary conditions analyzed, only one leads to the expected functional structure for conformal primaries; the other exhibits covariance under translations and rescalings but not under special conformal transformations.
12.
Pablo Guilleminot, Nelson Merino, Rodrigo Olea
Thin shell dynamics in Lovelock gravity Journal Article
In: Eur. Phys. J. C, vol. 82, no. 11, pp. 1025, 2022.
@article{Guilleminot:2022psn,
title = {Thin shell dynamics in Lovelock gravity},
author = {Pablo Guilleminot and Nelson Merino and Rodrigo Olea},
url = {https://arxiv.org/abs/2204.00767},
doi = {10.1140/epjc/s10052-022-10965-y},
year = {2022},
date = {2022-11-15},
urldate = {2022-11-15},
journal = {Eur. Phys. J. C},
volume = {82},
number = {11},
pages = {1025},
abstract = {We study matching conditions for a spherically symmetric thin shell in Lovelock gravity which can be read off from the variation of the corresponding first-order action. In point of fact, the addition of Myers’ boundary terms to the gravitational action eliminates the dependence on the acceleration in this functional and such that the canonical momentum appears in the surface term in the variation of the total action. This procedure leads to junction conditions given by the discontinuity of the canonical momentum defined for an evolution normal to the boundary.In particular, we correct existing results in the literature for the thin shell collapse in generic Lovelock theories, which were mistakenly drawn from an inaccurate analysis of the total derivative terms in the system.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
We study matching conditions for a spherically symmetric thin shell in Lovelock gravity which can be read off from the variation of the corresponding first-order action. In point of fact, the addition of Myers’ boundary terms to the gravitational action eliminates the dependence on the acceleration in this functional and such that the canonical momentum appears in the surface term in the variation of the total action. This procedure leads to junction conditions given by the discontinuity of the canonical momentum defined for an evolution normal to the boundary.In particular, we correct existing results in the literature for the thin shell collapse in generic Lovelock theories, which were mistakenly drawn from an inaccurate analysis of the total derivative terms in the system.
13.
Giorgos Anastasiou, Ignacio J. Araya, Andrés Argandoña, Rodrigo Olea
CFT correlators from shape deformations in Cubic Curvature Gravity Journal Article
In: JHEP, vol. 11, pp. 031, 2022.
@article{Anastasiou:2022pzm,
title = {CFT correlators from shape deformations in Cubic Curvature Gravity},
author = {Giorgos Anastasiou and Ignacio J. Araya and Andrés Argandoña and Rodrigo Olea},
url = {https://arxiv.org/abs/2208.00093},
doi = {10.1007/JHEP11(2022)031},
year = {2022},
date = {2022-11-07},
urldate = {2022-11-07},
journal = {JHEP},
volume = {11},
pages = {031},
abstract = {We find a covariant expression for the universal part of the holographic entanglement entropy which is valid for CFTs dual to generic higher curvature gravities in up to five bulk dimensions. We use this functional to compute universal coefficients of stress-tensor correlators in three-dimensional CFTs dual to Cubic Curvature Gravity. Using gauge/gravity duality, we work out an expression for the entanglement entropy of deformed entangling regions and read the coefficients from the power expansion of the entropy in the deformation parameter. In particular, we obtain the t4 coefficient of the 3-point function and exhibit a difference between the results obtained using the entanglement entropy functional for minimal and non-minimal splittings. We compare the obtained expressions for t4 derived considering both splittings with results obtained through other holographic methods which are splitting-independent. We find agreement with the result obtained from the non-minimal splitting, whereas the result derived from the minimal splitting is inconsistent and it is therefore ruled out.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
We find a covariant expression for the universal part of the holographic entanglement entropy which is valid for CFTs dual to generic higher curvature gravities in up to five bulk dimensions. We use this functional to compute universal coefficients of stress-tensor correlators in three-dimensional CFTs dual to Cubic Curvature Gravity. Using gauge/gravity duality, we work out an expression for the entanglement entropy of deformed entangling regions and read the coefficients from the power expansion of the entropy in the deformation parameter. In particular, we obtain the t4 coefficient of the 3-point function and exhibit a difference between the results obtained using the entanglement entropy functional for minimal and non-minimal splittings. We compare the obtained expressions for t4 derived considering both splittings with results obtained through other holographic methods which are splitting-independent. We find agreement with the result obtained from the non-minimal splitting, whereas the result derived from the minimal splitting is inconsistent and it is therefore ruled out.
14.
Giorgos Anastasiou, Ignacio J. Araya, Rodrigo Olea
Energy functionals from Conformal Gravity Journal Article
In: JHEP, vol. 10, pp. 123, 2022.
@article{Anastasiou:2022ljq,
title = {Energy functionals from Conformal Gravity},
author = {Giorgos Anastasiou and Ignacio J. Araya and Rodrigo Olea},
url = {https://arxiv.org/abs/2209.02006},
doi = {10.1007/JHEP10(2022)123},
year = {2022},
date = {2022-10-19},
urldate = {2022-10-19},
journal = {JHEP},
volume = {10},
pages = {123},
abstract = {We provide a new derivation of the Hawking mass and Willmore energy functionals for asymptotically AdS spacetimes, by embedding Einstein-AdS gravity in Conformal Gravity. By construction, the evaluation of the four-dimensional Conformal Gravity action in a manifold with a conical defect produces a codimension-2 conformal invariant functional L_{Σ}. The energy functionals are then particular cases of L_{Σ} for Einstein-AdS and pure AdS ambient spaces, respectively. The bulk action is finite for AdS asymptotics and both Hawking mass and Willmore energy are finite as well. The result suggests a generic relation between conformal invariance and renormalization, where the codimension-2 properties are inherited from the bulk gravity action.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
We provide a new derivation of the Hawking mass and Willmore energy functionals for asymptotically AdS spacetimes, by embedding Einstein-AdS gravity in Conformal Gravity. By construction, the evaluation of the four-dimensional Conformal Gravity action in a manifold with a conical defect produces a codimension-2 conformal invariant functional LΣ. The energy functionals are then particular cases of LΣ for Einstein-AdS and pure AdS ambient spaces, respectively. The bulk action is finite for AdS asymptotics and both Hawking mass and Willmore energy are finite as well. The result suggests a generic relation between conformal invariance and renormalization, where the codimension-2 properties are inherited from the bulk gravity action.
15.
Olivera Miskovic, Rodrigo Olea, Yoel Parra-Cisterna
Energy of anti–de Sitter black holes in odd-dimensional quadratic curvature gravity Journal Article
In: Phys. Rev. D, vol. 106, no. 4, pp. 044048, 2022.
@article{Miskovic:2022mqv,
title = {Energy of anti–de Sitter black holes in odd-dimensional quadratic curvature gravity},
author = {Olivera Miskovic and Rodrigo Olea and Yoel Parra-Cisterna},
url = {https://arxiv.org/abs/2205.10809},
doi = {10.1103/PhysRevD.106.044048},
year = {2022},
date = {2022-08-15},
urldate = {2022-08-15},
journal = {Phys. Rev. D},
volume = {106},
number = {4},
pages = {044048},
abstract = {We provide new formulas for the energy of black hole solutions in the anti–de Sitter (AdS) sector of a generic gravity theory with curvature-squared terms. This is achieved by the addition of counterterms of the extrinsic type (Kounterterms) which produces a finite variation of the total action. The procedure is compatible with the boundary conditions in asymptotically AdS spaces within the framework of quadratic curvature gravity (QCG) theory. As a consequence, without resorting to background-substraction, or linearized methods, the conserved charges correctly reproduce the energy of static black holes in QCG.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
We provide new formulas for the energy of black hole solutions in the anti–de Sitter (AdS) sector of a generic gravity theory with curvature-squared terms. This is achieved by the addition of counterterms of the extrinsic type (Kounterterms) which produces a finite variation of the total action. The procedure is compatible with the boundary conditions in asymptotically AdS spaces within the framework of quadratic curvature gravity (QCG) theory. As a consequence, without resorting to background-substraction, or linearized methods, the conserved charges correctly reproduce the energy of static black holes in QCG.
16.
Marcela Cárdenas, Hernán A. González, Kristiansen Lara, Miguel Pino
DC conductance and memory in 3D gravity Journal Article
In: JHEP, vol. 08, pp. 074, 2022.
@article{Cardenas:2021sun,
title = {DC conductance and memory in 3D gravity},
author = {Marcela Cárdenas and Hernán A. González and Kristiansen Lara and Miguel Pino},
url = {https://arxiv.org/abs/2109.05068},
doi = {10.1007/JHEP08(2022)074},
year = {2022},
date = {2022-08-04},
urldate = {2022-08-04},
journal = {JHEP},
volume = {08},
pages = {074},
abstract = {Transport properties are investigated in the two-dimensional dual dynamics of AdS_{3} gravity. By providing boundary conditions that deform the ADM lapse and shift functions, we construct a lower dimensional model comprising two copies of chiral boson excitations with anisotropic scaling symmetry. Using bosonization, an electric current is identified. By means of the Kubo formula, we find a DC conductance depending on the level of the theory and the dynamical exponents. The bulk realization of the linear response is related to a type of gravitational memory emerging in the context of near-horizon boundary conditions. The process is adiabatic and represents a permanent spacetime deformation parametrized by anisotropic chiral bosons through a large gauge transformation.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Transport properties are investigated in the two-dimensional dual dynamics of AdS3 gravity. By providing boundary conditions that deform the ADM lapse and shift functions, we construct a lower dimensional model comprising two copies of chiral boson excitations with anisotropic scaling symmetry. Using bosonization, an electric current is identified. By means of the Kubo formula, we find a DC conductance depending on the level of the theory and the dynamical exponents. The bulk realization of the linear response is related to a type of gravitational memory emerging in the context of near-horizon boundary conditions. The process is adiabatic and represents a permanent spacetime deformation parametrized by anisotropic chiral bosons through a large gauge transformation.
17.
Alessio Marrani, Olivera Miskovic, Paula Quezada Leon
Spontaneous scalarization in (A)dS gravity at zero temperature Journal Article
In: JHEP, vol. 07, pp. 100, 2022.
@article{Marrani:2022hva,
title = {Spontaneous scalarization in (A)dS gravity at zero temperature},
author = {Alessio Marrani and Olivera Miskovic and Paula Quezada Leon},
url = {https://arxiv.org/abs/2203.14388},
doi = {10.1007/JHEP07(2022)100},
year = {2022},
date = {2022-07-18},
urldate = {2022-07-18},
journal = {JHEP},
volume = {07},
pages = {100},
abstract = {We study spontaneous scalarization of electrically charged extremal black holes in D ≥ 4 spacetime dimensions. Such a phenomenon is caused by the symmetry breaking due to quartic interactions of the scalar — Higgs potential and Stueckelberg interaction with electromagnetic and gravitational fields, characterized by the couplings an and b, respectively. We use the entropy representation of the states in the vicinity of the horizon, apply the inverse attractor mechanism for the scalar field, and analyze analytically the thermodynamic stability of the system using the laws of thermodynamics. As a result, we obtain that the scalar field condensates on the horizon only in spacetimes which are asymptotically non-flat, Λ ≠ 0 (dS or AdS), and whose extremal black holes have non-planar horizons k = ±1, provided that the mass m of the scalar field belongs to a mass interval (area code) different for each set of the boundary conditions specified by (Λ, k). A process of scalarization describes a second order phase transition of the black hole, from the extremal Reissner-Nordström (A)dS one, to the corresponding extremal hairy one. Furthermore, for the transition to happen, the interaction has to be strong enough, and all physical quantities on the horizon depend at most on the effective Higgs-Stueckelberg interaction am^{2} − 2b. Most of our results are general, valid for any parameter and any spacetime dimension.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
We study spontaneous scalarization of electrically charged extremal black holes in D ≥ 4 spacetime dimensions. Such a phenomenon is caused by the symmetry breaking due to quartic interactions of the scalar — Higgs potential and Stueckelberg interaction with electromagnetic and gravitational fields, characterized by the couplings an and b, respectively. We use the entropy representation of the states in the vicinity of the horizon, apply the inverse attractor mechanism for the scalar field, and analyze analytically the thermodynamic stability of the system using the laws of thermodynamics. As a result, we obtain that the scalar field condensates on the horizon only in spacetimes which are asymptotically non-flat, Λ ≠ 0 (dS or AdS), and whose extremal black holes have non-planar horizons k = ±1, provided that the mass m of the scalar field belongs to a mass interval (area code) different for each set of the boundary conditions specified by (Λ, k). A process of scalarization describes a second order phase transition of the black hole, from the extremal Reissner-Nordström (A)dS one, to the corresponding extremal hairy one. Furthermore, for the transition to happen, the interaction has to be strong enough, and all physical quantities on the horizon depend at most on the effective Higgs-Stueckelberg interaction am2 − 2b. Most of our results are general, valid for any parameter and any spacetime dimension.
18.
Pablo Bueno, Pablo A. Cano, Quim Llorens, Javier Moreno, Guido Velde
Aspects of three-dimensional higher curvatures gravities Journal Article
In: Class. Quant. Grav., vol. 39, no. 12, pp. 125002, 2022.
@article{Bueno:2022lhf,
title = {Aspects of three-dimensional higher curvatures gravities},
author = {Pablo Bueno and Pablo A. Cano and Quim Llorens and Javier Moreno and Guido Velde},
url = {https://arxiv.org/abs/2201.07266},
doi = {10.1088/1361-6382/ac6cbf},
year = {2022},
date = {2022-05-23},
urldate = {2022-05-23},
journal = {Class. Quant. Grav.},
volume = {39},
number = {12},
pages = {125002},
abstract = {We present new results involving general higher-curvature gravities in three dimensions. The most general Lagrangian can be written as a function of the Ricci scalar R, 2≡R̃baR̃ab and 3≡R̃baR̃cbR̃ac where R̃ab is the traceless part of the Ricci tensor. First, we provide a formula for the exact number of independent order-n densities, #(n). This satisfies the identity #(n−6)=#(n)−n. Then, we show that, linearized around a general Einstein solution, a generic order-n≥2 density can be written as a linear combination of Rn, which does not propagate the generic massive graviton, plus a density which does not propagate the generic scalar mode, Rn−12n(n−1)Rn−22, plus #(n)−2 densities which contribute trivially to the linearized equations. Next, we obtain an analytic formula for the quasinormal frequencies of the BTZ black hole for a general theory. Then, we provide a recursive formula as well as a general closed expression for order-n densities which non-trivially satisfy an holographic c-theorem, clarify their relation with Born-Infeld gravities and prove that they never propagate the scalar mode. We show that at each order there exist #(n−6) densities which satisfy the holographic c-theorem trivially and that all of them are proportional to a single sextic density Ω(6)≡623−32. We prove that there are also #(n−6) order-n Generalized Quasi-topological densities in three dimensions, all of which are "trivial" in the sense of making no contribution to the metric function equation. The set of such densities turns out to coincide exactly with the one of theories trivially satisfying the holographic c-theorem. We comment on the relation of Ω(6) to the Segre classification of three-dimensional metrics.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
We present new results involving general higher-curvature gravities in three dimensions. The most general Lagrangian can be written as a function of the Ricci scalar R, 2≡R̃baR̃ab and 3≡R̃baR̃cbR̃ac where R̃ab is the traceless part of the Ricci tensor. First, we provide a formula for the exact number of independent order-n densities, #(n). This satisfies the identity #(n−6)=#(n)−n. Then, we show that, linearized around a general Einstein solution, a generic order-n≥2 density can be written as a linear combination of Rn, which does not propagate the generic massive graviton, plus a density which does not propagate the generic scalar mode, Rn−12n(n−1)Rn−22, plus #(n)−2 densities which contribute trivially to the linearized equations. Next, we obtain an analytic formula for the quasinormal frequencies of the BTZ black hole for a general theory. Then, we provide a recursive formula as well as a general closed expression for order-n densities which non-trivially satisfy an holographic c-theorem, clarify their relation with Born-Infeld gravities and prove that they never propagate the scalar mode. We show that at each order there exist #(n−6) densities which satisfy the holographic c-theorem trivially and that all of them are proportional to a single sextic density Ω(6)≡623−32. We prove that there are also #(n−6) order-n Generalized Quasi-topological densities in three dimensions, all of which are "trivial" in the sense of making no contribution to the metric function equation. The set of such densities turns out to coincide exactly with the one of theories trivially satisfying the holographic c-theorem. We comment on the relation of Ω(6) to the Segre classification of three-dimensional metrics.
19.
Nicolás Grandi, Vladimir Juričić, Ignacio Salazar Landea, Rodrigo Soto-Garrido
Engineering holographic flat fermionic bands Journal Article
In: Phys. Rev. D, vol. 105, no. 8, pp. L081902, 2022.
@article{Grandi:2021jkj,
title = {Engineering holographic flat fermionic bands},
author = {Nicolás Grandi and Vladimir Juričić and Ignacio Salazar Landea and Rodrigo Soto-Garrido},
url = {https://arxiv.org/abs/2112.12198},
doi = {10.1103/PhysRevD.105.L081902},
year = {2022},
date = {2022-04-15},
urldate = {2022-04-15},
journal = {Phys. Rev. D},
volume = {105},
number = {8},
pages = {L081902},
abstract = {In electronic systems with flat bands, such as twisted bilayer graphene, interaction effects govern the structure of the phase diagram. In this paper, we show that a strongly interacting system featuring fermionic flat bands can be engineered using the holographic duality. In particular, we find that in the holographic nematic phase, two bulk Dirac cones separated in momentum space at low temperature, approach each other as the temperature increases. They eventually collide at a critical temperature yielding a flattened band with a quadratic dispersion. On the other hand, in the symmetric (Lifshitz) phase, this quadratic dispersion relation holds for any finite temperature. We therefore obtain a first holographic, strong-coupling realization of a topological phase transition where two Berry monopoles of charge one merge into a single one with charge two, which may be relevant for two- and three-dimensional topological semimetals.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
In electronic systems with flat bands, such as twisted bilayer graphene, interaction effects govern the structure of the phase diagram. In this paper, we show that a strongly interacting system featuring fermionic flat bands can be engineered using the holographic duality. In particular, we find that in the holographic nematic phase, two bulk Dirac cones separated in momentum space at low temperature, approach each other as the temperature increases. They eventually collide at a critical temperature yielding a flattened band with a quadratic dispersion. On the other hand, in the symmetric (Lifshitz) phase, this quadratic dispersion relation holds for any finite temperature. We therefore obtain a first holographic, strong-coupling realization of a topological phase transition where two Berry monopoles of charge one merge into a single one with charge two, which may be relevant for two- and three-dimensional topological semimetals.
20.
Horatiu Nastase, Francisco Rojas, Carlos Rubio
Celestial IR divergences in general most-subleading-color gluon and gravity amplitudes Journal Article
In: JHEP, vol. 01, pp. 136, 2022.
@article{Nastase:2021izh,
title = {Celestial IR divergences in general most-subleading-color gluon and gravity amplitudes},
author = {Horatiu Nastase and Francisco Rojas and Carlos Rubio},
url = {https://arxiv.org/abs/2111.06861},
doi = {10.1007/JHEP01(2022)136},
year = {2022},
date = {2022-01-25},
urldate = {2022-01-25},
journal = {JHEP},
volume = {01},
pages = {136},
abstract = {Gluon amplitudes at most-subleading order in the 1/N expansion share a remarkable simplicity with graviton amplitudes: collinear divergences are completely absent in both and, as a consequence, their full IR behavior arises from soft gluon/graviton exchange among the external states. In this paper we study the effect of all-loop IR divergences of celestial most-subleading color gluon amplitudes and their similarities with the celestial gravity case. In particular, a simple celestial exponentiation formula for the dipole part can be written. We also analize how this exponentiation is modified by non-dipole contributions. Finally we also show that, in the Regge limit, the soft factor satisfies the Knizhnik-Zamolodchikov equation hinting at the possibility that, in this limit, an effective Wess-Zumino-Witten model would describe the dynamics of the infrared sector.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
Gluon amplitudes at most-subleading order in the 1/N expansion share a remarkable simplicity with graviton amplitudes: collinear divergences are completely absent in both and, as a consequence, their full IR behavior arises from soft gluon/graviton exchange among the external states. In this paper we study the effect of all-loop IR divergences of celestial most-subleading color gluon amplitudes and their similarities with the celestial gravity case. In particular, a simple celestial exponentiation formula for the dipole part can be written. We also analize how this exponentiation is modified by non-dipole contributions. Finally we also show that, in the Regge limit, the soft factor satisfies the Knizhnik-Zamolodchikov equation hinting at the possibility that, in this limit, an effective Wess-Zumino-Witten model would describe the dynamics of the infrared sector.
21.
Felipe Diaz, Per Sundell, Carlo Iazeolla
Fractional Spins, Unfolding, and Holography: II. 4D Higher Spin Gravity and 3D Conformal Dual Journal Article Forthcoming
In: Forthcoming.
@article{nokey,
title = {Fractional Spins, Unfolding, and Holography: II. 4D Higher Spin Gravity and 3D Conformal Dual},
author = {Felipe Diaz and Per Sundell and Carlo Iazeolla},
url = {https://inspirehep.net/literature/2764919},
doi = {https://doi.org/10.48550/arXiv.2403.02301},
abstract = {This paper completes the analysis initiated in the companion work arXiv:2403.02283 -- referred to as Paper I -- by showing how 4D higher-spin gravity (HSG) and 3D coloured conformal matter fields coupled to conformal higher-spin gauge fields and colour gauge fields (coloured conformal HSG, or CCHSG) emerge as consistent reductions of a common parent model. The latter is a Frobenius-Chern-Simons model with superconnection valued in a fractional-spin extension of Vasiliev's higher-spin algebra, and was defined and studied in Paper I. Here, we i) realize HSG as a subcase of a more general 4D reduction, describing HSG coupled to coloured, fractional-spin matter, which we refer to as 4D fractional-spin gravity; ii) study the CCHSG model, in particular exhibiting the crucial role played by novel colour gauge fields in coupling conformal matter to conformal HSG, thereby completing the perturbatively defined models of conformal HSG due to Vasiliev and Nilsson; iii) extract conformal currents and composite coloured sources in an expansion of the CCHSG model around 3D Minkowskian leaves; and iv) compare our results with Vasiliev's holography proposal of arXiv:1203.5554. The common origin of HSG and CCHSG, besides relating the two models directly, is also the starting point for establishing the holographic correspondence between the two models via overlap conditions, to be presented separately.},
keywords = {},
pubstate = {forthcoming},
tppubtype = {article}
}
This paper completes the analysis initiated in the companion work arXiv:2403.02283 -- referred to as Paper I -- by showing how 4D higher-spin gravity (HSG) and 3D coloured conformal matter fields coupled to conformal higher-spin gauge fields and colour gauge fields (coloured conformal HSG, or CCHSG) emerge as consistent reductions of a common parent model. The latter is a Frobenius-Chern-Simons model with superconnection valued in a fractional-spin extension of Vasiliev's higher-spin algebra, and was defined and studied in Paper I. Here, we i) realize HSG as a subcase of a more general 4D reduction, describing HSG coupled to coloured, fractional-spin matter, which we refer to as 4D fractional-spin gravity; ii) study the CCHSG model, in particular exhibiting the crucial role played by novel colour gauge fields in coupling conformal matter to conformal HSG, thereby completing the perturbatively defined models of conformal HSG due to Vasiliev and Nilsson; iii) extract conformal currents and composite coloured sources in an expansion of the CCHSG model around 3D Minkowskian leaves; and iv) compare our results with Vasiliev's holography proposal of arXiv:1203.5554. The common origin of HSG and CCHSG, besides relating the two models directly, is also the starting point for establishing the holographic correspondence between the two models via overlap conditions, to be presented separately.
22.
Felipe Diaz, Per Sundell, Carlo Iazeolla
Fractional Spins, Unfolding, and Holography: I. Parent field equations for dual higher-spin gravity reductions Journal Article Forthcoming
In: Forthcoming.
@article{nokey,
title = {Fractional Spins, Unfolding, and Holography: I. Parent field equations for dual higher-spin gravity reductions},
author = {Felipe Diaz and Per Sundell and Carlo Iazeolla},
url = {https://inspirehep.net/literature/2764858},
doi = { https://doi.org/10.48550/arXiv.2403.02283 },
abstract = {In this work and in the companion paper arXiv:2403.02301 we initiate an approach to holography based on the AKSZ formalism. As a first step, we refine Vasiliev's holography proposal in arXiv:1203.5554 by obtaining 4D higher-spin gravity (HSG) and 3D coloured conformal higher-spin gravity (CCHSG) -- i.e., coloured conformal matter fields coupled to conformal higher-spin gauge fields and colour gauge fields -- as two distinct and classically consistent reductions of a single parent theory. The latter consists, on-shell, of a flat superconnection valued in a fractional-spin extension of Vasiliev's higher-spin algebra. The 4D HSG and 3D CCHSG reductions are characterized by dual structure groups and two-form cohomology elements, and their embedding in a common parent model provides a rationale for deriving holographic relations from multi-dimensional AKSZ partition functions on cylinders with dual boundary conditions, to appear separately. In this work we i) construct the underlying non-commutative geometry as a metaplectic operator algebra represented in a Hermitian module of a pair of conformal particles; ii) identify a discrete modular group, arising from twisted boundary conditions of the first-quantized system, and connecting different boundary conditions of the second-quantized system; and iii) identify the holonomies, structure groups and two-form cohomology elements that characterize the HSG and CCHSG reductions, and equate the dual second Chern classes.},
keywords = {},
pubstate = {forthcoming},
tppubtype = {article}
}
In this work and in the companion paper arXiv:2403.02301 we initiate an approach to holography based on the AKSZ formalism. As a first step, we refine Vasiliev's holography proposal in arXiv:1203.5554 by obtaining 4D higher-spin gravity (HSG) and 3D coloured conformal higher-spin gravity (CCHSG) -- i.e., coloured conformal matter fields coupled to conformal higher-spin gauge fields and colour gauge fields -- as two distinct and classically consistent reductions of a single parent theory. The latter consists, on-shell, of a flat superconnection valued in a fractional-spin extension of Vasiliev's higher-spin algebra. The 4D HSG and 3D CCHSG reductions are characterized by dual structure groups and two-form cohomology elements, and their embedding in a common parent model provides a rationale for deriving holographic relations from multi-dimensional AKSZ partition functions on cylinders with dual boundary conditions, to appear separately. In this work we i) construct the underlying non-commutative geometry as a metaplectic operator algebra represented in a Hermitian module of a pair of conformal particles; ii) identify a discrete modular group, arising from twisted boundary conditions of the first-quantized system, and connecting different boundary conditions of the second-quantized system; and iii) identify the holonomies, structure groups and two-form cohomology elements that characterize the HSG and CCHSG reductions, and equate the dual second Chern classes.
23.
Vladimir Juričić, Pablo Reiser
Tilted Dirac superconductor at quantum criticality: Restoration of Lorentz symmetry Journal Article Forthcoming
In: Forthcoming.
@article{nokey,
title = {Tilted Dirac superconductor at quantum criticality: Restoration of Lorentz symmetry},
author = {Vladimir Juričić and Pablo Reiser},
url = {https://arxiv.org/abs/2311.12797},
keywords = {},
pubstate = {forthcoming},
tppubtype = {article}
}
24.
Felipe Diaz, Cristóbal Corral, Nicolas Cáceres de la Fuente, Rodrigo Olea
Holographic renormalization of Horndeski gravity Journal Article Forthcoming
In: Forthcoming.
@article{nokey,
title = {Holographic renormalization of Horndeski gravity},
author = {Felipe Diaz and Cristóbal Corral and Nicolas Cáceres de la Fuente and Rodrigo Olea},
url = {https://arxiv.org/abs/2311.04054},
keywords = {},
pubstate = {forthcoming},
tppubtype = {article}
}
