Page curves and bath deformations

We study the black hole information problem within a semiclassically gravitating AdS _d d black hole coupled to and in equilibrium with a d d -dimensional thermal conformal bath. We deform the bath state by a relevant scalar deformation, triggering a holographic RG flow whose "trans-IR" re...

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Bibliographic Details
Published inSciPost physics core Vol. 5; no. 2; p. 033
Main Authors Caceres, Elena, Kundu, Arnab, Patra, Ayan, Shashi, Sanjit
Format Journal Article
LanguageEnglish
Published SciPost 01.04.2022
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Summary:We study the black hole information problem within a semiclassically gravitating AdS _d d black hole coupled to and in equilibrium with a d d -dimensional thermal conformal bath. We deform the bath state by a relevant scalar deformation, triggering a holographic RG flow whose "trans-IR" region deforms from a Schwarzschild geometry to a Kasner universe. The setup manifests two independent scales which control both the extent of coarse-graining and the entanglement dynamics when counting Hawking degrees of freedom in the bath. In tuning either, we find nontrivial changes to the Page time and Page curve. We consequently view the Page curve as a probe of the holographic RG flow, with a higher Page time manifesting as a result of increased coarse-graining of the bath degrees of freedom.
ISSN:2666-9366
2666-9366
DOI:10.21468/SciPostPhysCore.5.2.033