PIRSA:23020048

Reparametrization mode and chaos on the worldsheet

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

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

          @misc{ pirsa_PIRSA:23020048,
            doi = {10.48660/23020048},
            url = {https://pirsa.org/23020048},
            author = {Komatsu, Shota},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Reparametrization mode and chaos on the worldsheet},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {feb},
            note = {PIRSA:23020048 see, \url{https://pirsa.org}}
          }

Shota Komatsu

Princeton University

Talk number
PIRSA:23020048
Collection
Talk Type
Subject
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