钟德亮 博士学术报告
Title: Line Operators in Chern-Simons-Matter Theories and Bosonization in Three Dimensions
Speaker: Dr. Deliang Zhong(钟德亮)
Affiliation: Tel Aviv University, Israel
Time:14:00-15:00, Tuesday, 20th September, 2022 (UTC+8, Beijing Time)
Venue: Zoom Meeting
Inviter: Qiang Wen(文强)
Abstract
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.
About the Speaker
Deliang Zhong is currently a postdoc at the Department of Particle Physics of Tel Aviv University, Israel. He got his Ph.D. degree in theoretical physics from Ecole Normale Supérieure, Paris, France in 2019.
His research field includes Quantum integrability and scattering amplitudes.
The seminar will be broadcasted online by Zoom.
Interested people are free to join, without registration in advance.
The Zoom info is
URL:https://us02web.zoom.us/j/3854420225?pwd=SXY4eWJKOTBFZWJDaE16aXpTamY1QT09
Meeting ID: 385 442 0225
Passcode: yauc