PIRSA:23020048 Scientific Series Quantum Fields and Strings

DOI10.48660/23020048

Series: Quantum Fields and Strings

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}}
}

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

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