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Entanglement islands in higher dimensions

by Ahmed Almheiri, Raghu Mahajan, Jorge E. Santos

Submission summary

As Contributors: Raghu Mahajan
Arxiv Link: https://arxiv.org/abs/1911.09666v3 (pdf)
Date accepted: 2020-06-11
Date submitted: 2020-05-27
Submitted by: Mahajan, Raghu
Submitted to: SciPost Physics
Discipline: Physics
Subject area: High-Energy Physics - Theory
Approaches: Theoretical, Computational

Abstract

It has been suggested in recent work that the Page curve of Hawking radiation can be recovered using computations in semi-classical gravity provided one allows for "islands" in the gravity region of quantum systems coupled to gravity. The explicit computations so far have been restricted to black holes in two-dimensional Jackiw-Teitelboim gravity. In this note, we numerically construct a five-dimensional asymptotically AdS geometry whose boundary realizes a four-dimensional Hartle-Hawking state on an eternal AdS black hole in equilibrium with a bath. We also numerically find two types of extremal surfaces: ones that correspond to having or not having an island. The version of the information paradox involving the eternal black hole exists in this setup, and it is avoided by the presence of islands. Thus, recent computations exhibiting islands in two-dimensional gravity generalize to higher dimensions as well.

Ontology / Topics

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AdS$_3$ gravity Entanglement Gravity Hawking radiation

Published as SciPost Phys. 9, 001 (2020)



Author comments upon resubmission

We have added discussion about the fundamental microscopic description of the system under study. We have also added some comparison to Penington's work and comments on greybody factors.

List of changes

1) We have added discussion about the fundamental microscopic description of the system under study, and the two gravitational avatars. This discussion is on the top of page 5.

2) We have also added some comparison to Penington's work and comments on greybody factors. This is in the new section 4.3


Reports on this Submission

Anonymous Report 2 on 2020-6-4 Invited Report

Report

The changes look good. I fully support publication.

  • validity: high
  • significance: high
  • originality: high
  • clarity: high
  • formatting: excellent
  • grammar: excellent

Anonymous Report 1 on 2020-6-2 Invited Report

Report

The authors have addressed my previous points. I fully support publication.

  • validity: high
  • significance: high
  • originality: high
  • clarity: top
  • formatting: perfect
  • grammar: perfect

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