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Holographic timelike entanglement across dimensions

Carlos Nunez Orcid Logo, Dibakar Roychowdhury Orcid Logo

Journal of High Energy Physics, Volume: 2025, Issue: 11

Swansea University Author: Carlos Nunez Orcid Logo

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DOI (Published version): 10.1007/jhep11(2025)100

Abstract

We develop a holographic framework for computing timelike entanglement entropy (tEE) in quantum field theories, extending the Ryu-Takayanagi prescription into Lorentzian settings. Using three broad classes of supergravity backgrounds, we derive both exact and approximate tEE expressions for slab, sp...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2025
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URI: https://cronfa.swan.ac.uk/Record/cronfa70944
first_indexed 2025-11-19T22:01:33Z
last_indexed 2026-01-08T05:21:36Z
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spelling 2026-01-07T11:14:45.3332771 v2 70944 2025-11-19 Holographic timelike entanglement across dimensions c0d6540c37ad4b0a5934d3978048fb2a 0000-0002-1958-9551 Carlos Nunez Carlos Nunez true false 2025-11-19 BGPS We develop a holographic framework for computing timelike entanglement entropy (tEE) in quantum field theories, extending the Ryu-Takayanagi prescription into Lorentzian settings. Using three broad classes of supergravity backgrounds, we derive both exact and approximate tEE expressions for slab, spherical, and hyperbolic regions, and relate them to the central charges of the dual conformal field theories. The method is applied to infinite families of supersymmetric linear quivers in dimensions from d = 2 to d = 6, showing that Liu-Mezei and slab central charges scale universally like the holographic central charge. We then analyse gapped and confining models, including twisted compactifications and wrapped brane constructions, identifying how a mass gap modifies tEE and when approximate formulas remain accurate. In all cases, we uncover robust scaling with invariant separations and signature-dependent phase behaviour, distinguishing spacelike from timelike embeddings. Our results unify the treatment of tEE in both conformal and non-conformal theories, clarifying its role as a probe of causal structure, universal data, and non-perturbative dynamics in holography. Journal Article Journal of High Energy Physics 2025 11 Springer Science and Business Media LLC 1029-8479 AdS-CFT Correspondence; Gauge-Gravity Correspondence 18 11 2025 2025-11-18 10.1007/jhep11(2025)100 COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University Other DR would like to acknowledge The Royal Society, UK for financial assistance. DR also acknowledges the Mathematical Research Impact Centric Support (MATRICS) grant (MTR/2023/000005) received from ANRF, India. C. N. is supported by STFC’s grants ST/Y509644-1, ST/X000648/1 and ST/T000813/1. 2026-01-07T11:14:45.3332771 2025-11-19T19:40:45.6172484 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 70944__35906__e011526380154eeaaeae98472bd03baa.pdf 70944.VoR.pdf 2026-01-07T11:12:09.9747675 Output 928987 application/pdf Version of Record true © The Authors. This article is distributed under the terms of the Creative Commons Attribution License. true eng http://creativecommons.org/licenses/by/4.0/
title Holographic timelike entanglement across dimensions
spellingShingle Holographic timelike entanglement across dimensions
Carlos Nunez
title_short Holographic timelike entanglement across dimensions
title_full Holographic timelike entanglement across dimensions
title_fullStr Holographic timelike entanglement across dimensions
title_full_unstemmed Holographic timelike entanglement across dimensions
title_sort Holographic timelike entanglement across dimensions
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 Journal of High Energy Physics
container_volume 2025
container_issue 11
publishDate 2025
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/jhep11(2025)100
publisher Springer Science and Business Media LLC
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
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description We develop a holographic framework for computing timelike entanglement entropy (tEE) in quantum field theories, extending the Ryu-Takayanagi prescription into Lorentzian settings. Using three broad classes of supergravity backgrounds, we derive both exact and approximate tEE expressions for slab, spherical, and hyperbolic regions, and relate them to the central charges of the dual conformal field theories. The method is applied to infinite families of supersymmetric linear quivers in dimensions from d = 2 to d = 6, showing that Liu-Mezei and slab central charges scale universally like the holographic central charge. We then analyse gapped and confining models, including twisted compactifications and wrapped brane constructions, identifying how a mass gap modifies tEE and when approximate formulas remain accurate. In all cases, we uncover robust scaling with invariant separations and signature-dependent phase behaviour, distinguishing spacelike from timelike embeddings. Our results unify the treatment of tEE in both conformal and non-conformal theories, clarifying its role as a probe of causal structure, universal data, and non-perturbative dynamics in holography.
published_date 2025-11-18T05:32:48Z
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score 11.09611

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