报告题目 (Title)：Modularity in 𝑑 > 2 free conformal field theory（𝑑 > 2共形场论模性质）

报告人 (Speaker)：雷扬（苏州大学高等研究院）

报告时间 (Time)：2024年6月7日（周五）13:30

报告地点 (Place)：校本部G309

邀请人 (Inviter)：张弘 副教授

主办部门：理学院物理系

摘要 (Abstract)：

We derive new closed form expressions for the partition functions of free conformally-coupled scalars on S2D−1×S1 which resum the exact high-temperature expansion. The derivation relies on an identification of the partition functions, analytically continued in chemical potentials and temperature, with multiple elliptic Gamma functions. These functions satisfy interesting modular properties, which we use to arrive at our expressions. We describe a geometric interpretation of the modular properties of multiple elliptic Gamma functions in the context of superconformal field theory. Based on this, we suggest a geometric interpretation of the modular property in the context of the free scalar CFT in even dimensions and comment on extensions to odd dimensions and free fermions.