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Replica Rényi wormholes and generalised modular entropy in JT gravity

Timothy Hollowood Orcid Logo, Prem Kumar Orcid Logo, Luke Piper

Journal of High Energy Physics, Volume: 2024

Swansea University Authors: Timothy Hollowood Orcid Logo, Prem Kumar Orcid Logo, Luke Piper

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DOI (Published version): 10.1007/jhep10(2024)169

Abstract

We consider the problem of computing semi-classical Rényi entropies of CFTon AdS2 backgrounds in JT gravity with nongravitating baths, for general replica number n. Away from the n =1 limit, the backreaction of the CFT twist fields on the geometry is nontrivial. For one twist field insertion and gen...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Nature 2024
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URI: https://cronfa.swan.ac.uk/Record/cronfa68052
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spelling v2 68052 2024-10-24 Replica Rényi wormholes and generalised modular entropy in JT gravity ea9ca59fc948276ff2ab547e91bdf0c2 0000-0002-3258-320X Timothy Hollowood Timothy Hollowood true false 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false c85fb9575485cca16d4e56301225f35c Luke Piper Luke Piper true false 2024-10-24 BGPS We consider the problem of computing semi-classical Rényi entropies of CFTon AdS2 backgrounds in JT gravity with nongravitating baths, for general replica number n. Away from the n =1 limit, the backreaction of the CFT twist fields on the geometry is nontrivial. For one twist field insertion and general n, we show that the quantum extremal surface (QES) condition involves extremisation of the generalised modular entropy, consistent with Dong’s generalisation of the Ryu-Takayanagi formula for general n. For multiple QES we describe replica wormhole geometries using the theory of Fuchsian uniformisation, explicitly working out the analytically tractable case of the n“2 double trumpet wormhole geometry. We determine the off-shell dependence of the gravitational action on the QES locations andboundary map. In a factorisation limit, corresponding to late times, we are able to relate this action functional to area terms given by the value of the JT dilaton at the (off-shell) QES locations, with computable corrections. Applied to the two-sided eternal black hole, we find the n-dependent Page times for Rényi enropies in the high temperature limit. Journal Article Journal of High Energy Physics 2024 Springer Nature 1029-8479 2D Gravity, Black Holes 23 10 2024 2024-10-23 10.1007/jhep10(2024)169 COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University Another institution paid the OA fee TJH and SPK would like to acknowledge support from STFC Consolidated Grant Award ST/X000648/1. LCP is supported by a joint STFC studentship ST/V507143/1 and EPSRC DTP, Faculty of Science & Engg, Swansea U. SPK would like to thank the Fields, Gravity & Strings group, Laboratoire de Physique de L’ École Normale Supérieure for hospitality whilst this work was being completed. 2024-10-25T13:00:31.5498415 2024-10-24T10:43:21.6939844 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Timothy Hollowood 0000-0002-3258-320X 1 Prem Kumar 0000-0003-0867-4213 2 Luke Piper 3 68052__32720__6f5ceec749fc49328909de6f904cf414.pdf 68052.VOR.pdf 2024-10-25T12:28:21.7606664 Output 657404 application/pdf Version of Record true © The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0). true eng https://creativecommons.org/licenses/by/4.0/
title Replica Rényi wormholes and generalised modular entropy in JT gravity
spellingShingle Replica Rényi wormholes and generalised modular entropy in JT gravity
Timothy Hollowood
Prem Kumar
Luke Piper
title_short Replica Rényi wormholes and generalised modular entropy in JT gravity
title_full Replica Rényi wormholes and generalised modular entropy in JT gravity
title_fullStr Replica Rényi wormholes and generalised modular entropy in JT gravity
title_full_unstemmed Replica Rényi wormholes and generalised modular entropy in JT gravity
title_sort Replica Rényi wormholes and generalised modular entropy in JT gravity
author_id_str_mv ea9ca59fc948276ff2ab547e91bdf0c2
087fd097167d724ce1b13cb285741ef5
c85fb9575485cca16d4e56301225f35c
author_id_fullname_str_mv ea9ca59fc948276ff2ab547e91bdf0c2_***_Timothy Hollowood
087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
c85fb9575485cca16d4e56301225f35c_***_Luke Piper
author Timothy Hollowood
Prem Kumar
Luke Piper
author2 Timothy Hollowood
Prem Kumar
Luke Piper
format Journal article
container_title Journal of High Energy Physics
container_volume 2024
publishDate 2024
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/jhep10(2024)169
publisher Springer Nature
college_str Faculty of Science and Engineering
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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
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description We consider the problem of computing semi-classical Rényi entropies of CFTon AdS2 backgrounds in JT gravity with nongravitating baths, for general replica number n. Away from the n =1 limit, the backreaction of the CFT twist fields on the geometry is nontrivial. For one twist field insertion and general n, we show that the quantum extremal surface (QES) condition involves extremisation of the generalised modular entropy, consistent with Dong’s generalisation of the Ryu-Takayanagi formula for general n. For multiple QES we describe replica wormhole geometries using the theory of Fuchsian uniformisation, explicitly working out the analytically tractable case of the n“2 double trumpet wormhole geometry. We determine the off-shell dependence of the gravitational action on the QES locations andboundary map. In a factorisation limit, corresponding to late times, we are able to relate this action functional to area terms given by the value of the JT dilaton at the (off-shell) QES locations, with computable corrections. Applied to the two-sided eternal black hole, we find the n-dependent Page times for Rényi enropies in the high temperature limit.
published_date 2024-10-23T13:00:29Z
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