Quantum extremal modular curvature: modular transport with islands

Lars Aalsma, Cynthia Keeler, Claire Zukowski

Research output: Contribution to journalArticlepeer-review

Abstract

Modular Berry transport is a useful way to understand how geometric bulk information is encoded in the boundary CFT: the modular curvature is directly related to the bulk Riemann curvature. We extend this approach by studying modular transport in the presence of a non-trivial quantum extremal surface. Focusing on JT gravity on an AdS background coupled to a non-gravitating bath, we compute the modular curvature of an interval in the bath in the presence of an island: the Quantum Extremal Modular Curvature (QEMC). We highlight some important properties of the QEMC, most importantly that it is non-local in general. In an OPE limit, the QEMC becomes local and probes the bulk Riemann curvature in regions with an island. Our work gives a new approach to probe physics behind horizons.

Original languageEnglish (US)
Article number6
JournalJournal of High Energy Physics
Volume2024
Issue number10
DOIs
StatePublished - Oct 2024

Bibliographical note

Publisher Copyright:
© The Author(s) 2024.

Keywords

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

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