Title: Integral Identities from Symmetry Breaking of Conformal Defects
Speaker: Ziwen Kong
Affiliation: Deutsches Elektronen-Synchrotron DESY, Hamburg, Germany
Time: 16:00-17:00, Friday, 18th October, 2024 (UTC+8, Beijing Time)
Venue: Zoom Meeting (ID: 385 442 0225; Passcode: yauc)
Inviter: Zhengwen Liu（刘正文）
Abstract
I will present arXiv: 2203.17157 with N. Drukker and G. Sakkas and the paper to appear with N. Drukker and P. Kravchuk. Symmetry-breaking is an innate nature of defects. There is a distinguished set of defect operators that keeps track of the symmetries in the parent conformal field theory broken by the defect insertion, such as the tilt operators and displacement operators. We find identities of such defect operators between their 2-pt functions and integrated 4-pt functions, based on either the geometric properties of the defect conformal manifold which is the symmetry-breaking coset, or the Lie algebra of corresponding broken symmetry generators. I will demonstrate these integral identities in the case of the 1/2 BPS Maldacena-Wilson loop in N = 4 SYM as an example.
Speaker
Ziwen Kong received the B.S. degree in Physics from University of Science and Technology of China in 2019, and the Ph.D. degree in Applied Mathematics and Theoretical Physics from King’s College London in 2024. After that, she is doing post-doctoral research at Deutsches Elektronen-Synchrotron DESY.
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