Semiclassical geometry in double-scaled SYK

Akash Goel, Vladimir Narovlansky, Herman Verlinde

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We argue that at finite energies, double-scaled SYK has a semiclassical approximation controlled by a coupling λ in which all observables are governed by a non-trivial saddle point. The Liouville description of double-scaled SYK suggests that the correlation functions define a geometry in a two-dimensional bulk, with the 2-point function describing the metric. For small coupling, the fluctuations are highly suppressed, and the bulk describes a rigid (A)dS spacetime. As the coupling increases, the fluctuations become stronger. We study the correction to the curvature of the bulk geometry induced by these fluctuations. We find that as we go deeper into the bulk the curvature increases and that the theory eventually becomes strongly coupled. In general, the curvature is related to energy fluctuations in light operators. We also compute the entanglement entropy of partially entangled thermal states in the semiclassical limit.

Original languageEnglish (US)
Article number93
JournalJournal of High Energy Physics
Volume2023
Issue number11
DOIs
StatePublished - Nov 2023

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Keywords

  • 2D Gravity
  • AdS-CFT Correspondence
  • Models of Quantum Gravity

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