Universidad de Tarapacá and Universidad de Concepción organized their first joint international conference, destined to study black hole physics and holography.
The conference is taking place at the Facultad de Ciencias Físicas y Matemáticas, Universidad de Concepción. The meeting aims to bring together local and international researchers working in Chile and abroad as well as M.Sc. and Ph.D. students and postdoc fellows.
Today, Dr. Alberto Faraggi talked about “Interpolating Boundary Conditions on AdS_2”
Abstract:
We consider boundary conditions for massless scalars on AdS2 that interpolate between the Dirichlet and Neumann cases while preserving scale invariance. Assessing invariance under the full SL(2;R) conformal group is not immediately given the non-local nature of the boundary conditions. To further understand this issue, we compute the holographic 2- and 4-point correlation functions using the interpolating boundary conditions and study their transformation properties. Concretely, we look at the fluctuations of an open string around an AdS2⊂AdS4×ℂℙ3 worldsheet and identify the scalar field with one of the fluctuations in ℂℙ3, thus obtaining correlators of excitations inserted along a 1-dimensional defect in N=6 super Chern-Simons-matter theory at strong coupling. Of the two types of boundary conditions discussed, only one leads to a functional structure expected for correlators of conformal primaries; the other exhibits covariance under translations and rescalings but not special conformal transformations.”