Title：Integrated four-point correlators in N=4 SYM
Speaker：Wen, Congkao (温从烤)
Affiliation：Queen Mary University of London
Time：15:00 -16:30, 23/4/2021
Zoom Meeting ID：64207528539
Meeting Link：https://zoom.com.cn/j/64207528539
Meeting Password：832535
Inviter：Wen, Qiang
Abstract：In this talk, we will discuss integrated correlators of four superconformal primaries in N=4 super Yang-Mills, that are defined by integrating over spacetime coordinates of the four-point correlator with certain integration measures. The integrated correlators can be computed using supersymmetric localisation, which are expressed as N-dimensional matrix-model integrals. We will mostly focus on one of the integrated correlators. We find that this integrated correlator can be presented as a lattice sum, which makes manifest the SL(2, Z) modular invariance of N=4 SYM. Furthermore , the integrated correlator obeys an elegant Laplace-difference equation, which relates the correlator of SU(N) theory with those of SU(N-1) and SU(N+1) theories. The expression allows us to obtain exact results of the integrated correlator in various limits. For instance, in perturbation, the expression is checked to be consistent with known results in the literature; in the large-N limit, it is shown to match with the expected results from string theory due to AdS/CFT duality.
报告人介绍：温从烤，2011年博士毕业于美国布朗大学，2011年至2018年先后在Queen Mary University of London，University of Rome, Tor Verga和Caltech从事博士后研究工作，2018年4月初入职Queen Mary University of London。研究领域主要包括量子场论和弦理论的散射振幅，关联函数，以及规范/引力的对偶。