报告题目：SL(3,Z) modularity and 4d partition functions

报告人：雷扬，苏州大学高等研究院

报告时间：2022年5月5日，14:30-16:00

报告地点：zoom会议号：849 3997 1249

报告人简介

雷扬，2011年本科毕业于北京大学元培学院，2016年博士毕业于英国杜伦大学，随后分别在中科院理论物理研究所、南非金山大学（University of Witwatersrand）、丹麦哥本哈根大学尼尔斯·玻尔研究所和中国科学院大学卡弗里理论科学研究所从事博士后研究。即将入职苏州大学高等研究院，担任副教授。研究兴趣包括：非相对论全息对偶和量子引力，黑洞物理，模形式理论及量子信息理论在黑洞物理学中的应用等。

报告简介

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.

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