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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
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa70582
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 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.
College: Faculty of Science and Engineering
Funders: 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.
Issue: 8

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