BIMSA > BIMSA-Tsinghua String Seminar An Observable in Classical Pure AdS$_3$ Gravity: the Twist along a Geodesic
An Observable in Classical Pure AdS$_3$ Gravity: the Twist along a Geodesic
Organizers
Wei Cui , Feng Jun Xu
Speaker
Jie-Qiang Wu
Time
Tuesday, May 7, 2024 2:00 PM - 3:00 PM
Venue
A3-3-201
Online
Zoom 242 742 6089 (BIMSA)
Abstract
In this paper, we consider a little-studied observable in classical pure AdS$_3$ gravity: the twist along a geodesic.The motivation is that the twist only supports on the geodesic and may be a candidate element in the center. We study the properties of the twist and get the following results. First, we get the system's evolution generated by the twist, which exhibits a relative shift along the geodesic. Second, we show that the twist commutes with the length of the same geodesic, which supports the proposal that the twist is a candidate element in the center.