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Timelike entanglement entropy: A top-down approach

Carlos Nunez Orcid Logo, Dibakar Roychowdhury Orcid Logo

Physical Review D, Volume: 112, Issue: 2

Swansea University Author: Carlos Nunez Orcid Logo

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DOI (Published version): 10.1103/vjyt-xc15

Abstract

We investigate the concept of timelike entanglement entropy (tEE) within the framework of holography. We introduce a robust top-down prescription for computing tEE using the holographic duals to higher-dimensional quantum field theories—both conformal and confining—eliminating the ambiguities typica...

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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/cronfa70047
Abstract: We investigate the concept of timelike entanglement entropy (tEE) within the framework of holography. We introduce a robust top-down prescription for computing tEE using the holographic duals to higher-dimensional quantum field theories—both conformal and confining—eliminating the ambiguities typically associated with analytic continuation from Euclidean to Lorentzian signatures. We present accurate analytic approximations for tEE and timelike separations in slab geometries. We establish a clear stability criterion for bulk embeddings and demonstrate that tEE serves as a powerful tool for computing conformal field theory central charges, extending and strengthening previous results. Finally, we apply our framework to holographic confining backgrounds, revealing distinctive behaviors like phase transitions.
College: Faculty of Science and Engineering
Funders: D. R. would like to acknowledge The Royal Society, UK for financial assistance. D. R. 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, No. ST/X000648/1, and No. ST/T000813/1 ; SCOAP3
Issue: 2

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