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Interpolating between spacelike and timelike entanglement via holography

Carlos Nunez Orcid Logo, Dibakar Roychowdhury Orcid Logo

Physical Review D, Volume: 112, Issue: 8

Swansea University Author: Carlos Nunez Orcid Logo

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DOI (Published version): 10.1103/x3zd-llsx

Abstract

We study entanglement entropy for slablike regions in quantum field theories, using their holographic duals. We focus on the transition between spacelike and timelike separations. By considering boosted subsystems in conformal and confining holographic backgrounds, we identify two classes of extrema...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society (APS) 2025
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URI: https://cronfa.swan.ac.uk/Record/cronfa70582
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spelling 2025-11-17T14:25:59.0575350 v2 70582 2025-10-06 Interpolating between spacelike and timelike entanglement via holography c0d6540c37ad4b0a5934d3978048fb2a 0000-0002-1958-9551 Carlos Nunez Carlos Nunez true false 2025-10-06 BGPS We study entanglement entropy for slablike regions in quantum field theories, using their holographic duals. We focus on the transition between spacelike and timelike separations. By considering boosted subsystems in conformal and confining holographic backgrounds, we identify two classes of extremal surfaces; real ones (Type I) and complex surfaces (Type II). These interpolate between the usual Ryu-Takayanagi prescription and its timelike generalizations. We derive explicit expressions for the entanglement entropy in both conformal and confining cases and discuss their behavior across phase transitions, and null limits. The interpolation between Type I and Type II surfaces reveals an analytic continuation of the extremal surface across the light cone. Our analysis also finds the existence of a Ryu-Takayanagi surface (Type I) even for timelike separations in the confining field theory case. Journal Article Physical Review D 112 8 American Physical Society (APS) 2470-0010 2470-0029 3 10 2025 2025-10-03 10.1103/x3zd-llsx COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University SU Library paid the OA fee (TA Institutional Deal) DR would like to acknowledge The Royal Society, UK for financial assistance. DR also acknowledges the Mathematical Research Impact Centric Support (MATRICS) Grant No. (MTR/2023/000005) received from ANRF, India. C. N. is supported by STFC’s Grants No. ST/Y509644-1, ST/X000648/1 and ST/T000813/1. 2025-11-17T14:25:59.0575350 2025-10-06T15:05:39.5741223 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Carlos Nunez 0000-0002-1958-9551 1 Dibakar Roychowdhury 0000-0003-0602-425x 2 70582__35649__e87dd3d69a5848519a5a6e85f6d04d95.pdf 70582.VoR.pdf 2025-11-17T14:17:46.5989629 Output 298471 application/pdf Version of Record true Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. true eng https://creativecommons.org/licenses/by/4.0/
title Interpolating between spacelike and timelike entanglement via holography
spellingShingle Interpolating between spacelike and timelike entanglement via holography
Carlos Nunez
title_short Interpolating between spacelike and timelike entanglement via holography
title_full Interpolating between spacelike and timelike entanglement via holography
title_fullStr Interpolating between spacelike and timelike entanglement via holography
title_full_unstemmed Interpolating between spacelike and timelike entanglement via holography
title_sort Interpolating between spacelike and timelike entanglement via holography
author_id_str_mv c0d6540c37ad4b0a5934d3978048fb2a
author_id_fullname_str_mv c0d6540c37ad4b0a5934d3978048fb2a_***_Carlos Nunez
author Carlos Nunez
author2 Carlos Nunez
Dibakar Roychowdhury
format Journal article
container_title Physical Review D
container_volume 112
container_issue 8
publishDate 2025
institution Swansea University
issn 2470-0010
2470-0029
doi_str_mv 10.1103/x3zd-llsx
publisher American Physical Society (APS)
college_str Faculty of Science and Engineering
hierarchytype
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
active_str 0
description We study entanglement entropy for slablike regions in quantum field theories, using their holographic duals. We focus on the transition between spacelike and timelike separations. By considering boosted subsystems in conformal and confining holographic backgrounds, we identify two classes of extremal surfaces; real ones (Type I) and complex surfaces (Type II). These interpolate between the usual Ryu-Takayanagi prescription and its timelike generalizations. We derive explicit expressions for the entanglement entropy in both conformal and confining cases and discuss their behavior across phase transitions, and null limits. The interpolation between Type I and Type II surfaces reveals an analytic continuation of the extremal surface across the light cone. Our analysis also finds the existence of a Ryu-Takayanagi surface (Type I) even for timelike separations in the confining field theory case.
published_date 2025-10-03T05:31:11Z
_version_ 1851098054527025152
score 11.089386

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