The Page curve for reflected entropy

Chris Akers, Thomas Faulkner, Simon Lin, Pratik Rath

Research output: Contribution to journalArticlepeer-review

Abstract

We study the reflected entropy SR in the West Coast Model, a toy model of black hole evaporation consisting of JT gravity coupled to end-of-the-world branes. We demonstrate the validity of the holographic duality relating it to the entanglement wedge cross section away from phase transitions. Further, we analyze the important non-perturbative effects that smooth out the discontinuity in the SR phase transition. By performing the gravitational path integral, we obtain the reflected entanglement spectrum analytically. The spectrum takes a simple form consisting of superselection sectors, which we interpret as a direct sum of geometries, a disconnected one and a connected one involving a closed universe. We find that area fluctuations of O (GN) spread out the SR phase transition in the canonical ensemble, analogous to the entanglement entropy phase transition. We also consider a Renyi generalization of the reflected entropy and show that the location of the phase transition varies as a function of the Renyi parameter.

Original languageEnglish (US)
Article number89
JournalJournal of High Energy Physics
Volume2022
Issue number6
DOIs
StatePublished - Jun 2022

Keywords

  • AdS-CFT Correspondence
  • Black Holes in String Theory
  • Gauge-Gravity Correspondence

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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