题目：Automorphic functions in N=4 Super Yang--Mills Theory

报告人：段治豪，伦敦玛丽女王大学

时间：2025年1月10日（周五）上午10:30

地点：东区第五教学楼5101教室

摘要：In this talk, we explore integrated correlators in four-dimensional N = 4 super Yang-Mills theory, which encapsulate rich physical phenomena such as scattering amplitude in curved spacetime and exhibit interesting mathematical structures closely related to automorphic functions for SL(2,Z). After reviewing some known results about integrated four-point correlators, I will talk about the integrated two-point correlators in the presence of a line defect, which remain largely unexplored. In particular, we examine their modular behaviour under the SL(2,Z) action and conjecturally decompose them into a novel class of automorphic functions.