String Theory seminar - Hynek Paul  Seminar

Abstract: I will describe an infinite tower of <22pp> integrated four-point correlation functions of half-BPS operators in N=4 SYM with gauge group SU(N). Using the framework of the SL(2,Z) spectral decomposition we find explicit and remarkably simple results for these observables, *exactly* as a function of N, the charge p and the complexified gauge coupling \tau. Thanks to this exact solution, we can access various physically interesting regimes: the usual large N ('t Hooft) limit, the large charge limit at finite N, as well as different double-scaling limits. Based on [https://arxiv.org/abs/2209.06639] and upcoming work with Eric Perlmutter and Himanshu Raj.