## Video URL

http://pirsa.org/23020048# Reparametrization mode and chaos on the worldsheet

### APA

Komatsu, S. (2023). Reparametrization mode and chaos on the worldsheet. Perimeter Institute for Theoretical Physics. http://pirsa.org/23020048

### MLA

Komatsu, Shota. Reparametrization mode and chaos on the worldsheet. Perimeter Institute for Theoretical Physics, Feb. 14, 2023, http://pirsa.org/23020048

### BibTex

@misc{ scitalks_23020048, doi = {}, url = {http://pirsa.org/23020048}, author = {Komatsu, Shota}, keywords = {Quantum Fields and Strings}, language = {en}, title = {Reparametrization mode and chaos on the worldsheet}, publisher = {Perimeter Institute for Theoretical Physics}, year = {2023}, month = {feb}, note = {Talk #23020048 see, \url{https://scitalks.ca}} }

Shota Komatsu Princeton University

## Abstract

The path integral over reparametrization modes in one dimension played an important role in the duality between JT gravity and the SYK model. In this talk, I will explain that the reparametrization modes are important also in certain computations involving the string worldsheet with boundaries. A few cases in which it is expected to play a crucial role are the Wilson loop expectation value in confining string, open strings with massive endpoints, and the string dual to the half-BPS Wilson loop in N=4 supersymmetric Yang-Mills. After reviewing these cases briefly, I will focus on the last case and explain how to compute the correlation function on the BPS Wilson loop from the string worldsheet in the conformal gauge. In particular, I will show that the inclusion of the reparametrization modes is crucial for reproducing the answer obtained previously in the static gauge. I will then use the reparametrization mode path integral to study the four-point functions in the out-of-time-ordered configuration and obtain an exact answer in a double-scaling regime interpolating between the Lyapunov regime and the late-time exponential decay. Interestingly the result has exactly the same functional form as in JT gravity although the actions for the reparametrization modes are different.

Zoom link: https://pitp.zoom.us/j/99063427266?pwd=aG5iTlczNWhxdE9xNEZoVTlMSnVOQT09