This week’s journal club:

•  Anthonny Canazas (UNAB): “Una demostración con funciones signo y simetría conforme 1D”

Abstract: The AdS2/CFT1 correspondence has recently drawn a lot of attention in our community. Understanding one-dimensional conformal symmetry is essential in such a scenario. This time we will discuss the expression Σ=sgn(τ1-τ2)+sgn(τ2-τ3)+sgn(τ3-τ4)+sgn(τ4-τ1) which arises in the context of calculating a 4-point function applying the GKPW prescription to a propagating scalar field in AdS2 with interpolating boundary conditions between Dirichlet and Neumann. The fact that Σ is conformally invariant and cannot be written as a function of the invariant u (cross ratio) challenges us to ask ourselves questions to reflect on.

• Rodrigo Olea (UNAB): “On minimal surfaces”

Abstract: We explore the connection between the notion of minimality
for surfaces in manifolds with conical defects and what is usually computed from Variational Calculus. In addition, in a holographic framework, we renormalize the codimension-2 area functional for surfaces anchored to the conformal boundary.