SL(3, Z) modularity and 4d partition functions
组织者
束紅非
, 朱睿东
, 邹浩
演讲者
Yang Lei
时间
2022年05月25日 16:00 至 18:00
地点
1129B
线上
Tencent 992 567 857
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摘要
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.