BIMSA > Joint HEP-TH Seminar SL(3, Z) modularity and 4d partition functions
SL(3, Z) modularity and 4d partition functions
Organizers
Hongfei Shu , Rui-Dong Zhu , Hao Zou
Speaker
Yang Lei
Time
Wednesday, May 25, 2022 4:00 PM - 6:00 PM
Venue
1129B
Online
Tencent 992 567 857 ()
Abstract
One of the most exciting progress in understanding AdS/CFT in the past few years is the success of reproducing AdS5 black hole entropy from the computation of N=4 SYM. This generalizes the early understandings about BTZ black hole entropy, which can be counted from the SL(2,Z) modularity of 2d CFT partition functions. In this talk, I will explain how to apply the SL(3,Z) modularity of partition functions of N=4 SYM to understand the entropy of dual AdS5 black hole. Besides, it is known that 2d CFT partition functions reveal a phase diagram for SL(2,Z) family of black holes in the dual gravity, which are parametrized by a rational number the moduli will take value in. This is known as the Farey tail story. I will also explain the evidence about SL(3,Z) family of saddles existing, which are parametrized by a pair of independent rational numbers. This gives a generalized SL(3,Z) modularity which is less known in the literature.