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Autori principali: Nunez, Carlos, Roychowdhury, Dibakar
Natura: Preprint
Pubblicazione: 2025
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Accesso online:https://arxiv.org/abs/2508.13266
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author Nunez, Carlos
Roychowdhury, Dibakar
author_facet Nunez, Carlos
Roychowdhury, Dibakar
contents 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 nonconformal theories, clarifying its role as a probe of causal structure, universal data, and nonperturbative dynamics in holography.
format Preprint
id arxiv_https___arxiv_org_abs_2508_13266
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Holographic Timelike Entanglement Across Dimensions
Nunez, Carlos
Roychowdhury, Dibakar
High Energy Physics - Theory
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 nonconformal theories, clarifying its role as a probe of causal structure, universal data, and nonperturbative dynamics in holography.
title Holographic Timelike Entanglement Across Dimensions
topic High Energy Physics - Theory
url https://arxiv.org/abs/2508.13266