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报告题目Line Operators in Chern-Simons-Matter Theories and

Bosonization in Three Dimensions

报告人钟德亮 博士(以色列特拉维夫大学)

报告时间2022年06月30日(周四)下午15:30-16:30

报告地点在线报告(腾讯会议ID:442 4477 5872)

报告摘要

We study Chern-Simons theories at large N with either bosonic or fermionic matter in the fundamental representation. The most fundamental operators in these theories are mesonic line operators, the simplest example being Wilson lines ending on fundamentals. We classify the conformal line operators along an arbitrary smooth path as well as the spectrum of conformal dimensions and transverse spins of their boundary operators at finite 't Hooft coupling. These line operators are shown to satisfy first-order chiral evolution equations, in which a smooth variation of the path is given by a factorized product of two line operators. We argue that this equation together with the spectrum of boundary operators are sufficient to uniquely determine the expectation values of these operators. We demonstrate this by bootstrapping the two-point function of the displacement operator on a straight line. We show that the line operators in the theory of bosons and the theory of fermions satisfy the same evolution equation and have the same spectrum of boundary operators.

报告人简介

钟德亮,2014年本科毕业于北京大学,2019年在法国巴黎高等师范学院获得博士学位,2019年至今在以色列特拉维夫大学做博士后。

报告链接

Line Operators in Chern-Simons-Matter Theories and Bosonization in 3D_哔哩哔哩_bilibili

关闭窗口

天津大学理学院 量子交叉研究中心   地址:天津津南区 雅观路135号 天津大学北洋园校区32楼146 
Center for Joint Quantum Studies, School of Science, Tianjin University     Address : Yaguan Road 135, Jinnan District, 300350 Tianjin, P. R. China