Time: 10:00-12:00, May 21, 2024

Location: Rm 401, KITS, UCAS

Speaker: Song He (Jilin University)

Abstract:

This study delves into exact holographic correlators, exploring their manifestation from toroidal surfaces to higher genus Riemann surfaces within the AdS3/CFT2 framework. Initially focusing on the holographic correlators of the stress tensor in conformal field theory (CFT) on a torus, we employ perturbative solutions to Einstein's equation in the Einstein-Hilbert theory of gravity. Through this, we establish a recurrence relation that streamlines computations of higher-point correlators, showcasing their alignment with established CFT findings. Furthermore, our investigation extends to holographic correlators on general Riemann surfaces, leveraging the Schottky uniformization technique to compute stress tensor correlators on surfaces of higher genus. We derive four-point correlators and recurrence relations within the AdS3/CFT2 context, thereby offering valuable insights into stress tensor correlators on higher genus Riemann surfaces. Lastly, we delve into the computation of Euclidean thermal correlators of the stress tensor and U(1) current from the AdS5 planar black hole. By solving boundary value problems and establishing connections between the linearized Einstein and Maxwell equations and the Heun equation, we derive exact two-point thermal correlators. This talk is based on JHEP 06 (2023) 116, JHEP 03 (2024) 024, 2311.09636, and upcoming paper.