Title: Two tales of TTbar deforming quantum mechanics - supersymmetry andSchwarzian
Speaker: Haoyu SUN
Affiliation: University of Texas at Austin
Time: 9:00-10:00 AM, Tuesday, 21st June, 2022 (UTC+8, Beijing Time)
Venue: Zoom Meeting
Inviter: Yunfeng JIANG (江云峰)
Abstract
In this talk, I will talk about two tales of TTbar deformation. The first one regards explicitly supersymmetric TTbar deformations of N=1 and N=2 supersymmetric quantum mechanics. Written in terms of Noether currents associated with translations in superspace, these deformations are on-shell equivalent to the dimensionally reduced supercurrent-squared deformations of 2d N=(0,1) and N=(1,1) theories, respectively. In the N=1 case, two forms of the deformation driving the same flow are presented. Another tale is on TTbar deforming the 1d dual to the 2d BF formulation of JT gravity, where fundamental observables are Wilson lines and loops. After interpreting this deformation as a modification of the BF theory boundary condition, we study the deformed correlators of boundary-anchored Wilson lines in the 3d Chern-Simons lift of BF theory. Analogous correlators in BF theory per se are also calculated below the Hagedorn temperature, where the SL(2,R) principal series dominates over the discrete series. This talk is based on joint work arXiv:2204.05897 and arXiv:2205.07817 with S. Ebert, C. Ferko, and Z. Sun.
About the Speaker
Haoyu SUN is currently a Postdoctoral Fellow at the Theory Group of the University of Texas at Austin.
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