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Universal correction to higher spin entanglement entropy

Shouvik Datta, Justin R. David, Michael Ferlaino, Prem Kumar Orcid Logo

Physical Review D, Volume: 90, Issue: 4

Swansea University Author: Prem Kumar Orcid Logo

DOI (Published version): 10.1103/PhysRevD.90.041903

Abstract

We consider conformal field theories in two spacetime dimensions with W-algebra symmetries, deformed by a chemical potential μ for the spin-three current. We show that the order μ2 correction to the R ́enyi and entanglement entropies of a single interval in the deformed theory, on the infinite spati...

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Published in: Physical Review D
Published: 2014
URI: https://cronfa.swan.ac.uk/Record/cronfa18050
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first_indexed 2014-06-21T01:59:54Z
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spelling 2020-07-16T14:29:46.9797616 v2 18050 2014-06-20 Universal correction to higher spin entanglement entropy 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2014-06-20 SPH We consider conformal field theories in two spacetime dimensions with W-algebra symmetries, deformed by a chemical potential μ for the spin-three current. We show that the order μ2 correction to the R ́enyi and entanglement entropies of a single interval in the deformed theory, on the infinite spatial line and at finite temperature, is universal. The correction is completely determined by the operator product expansion of two spin-three currents, and by the expectation values of the stress tensor, its descendants and its composites, evaluated on the n-sheeted Riemann surface branched along the interval. This explains the recently found agreement of the order μ2 correction across distinct free field CFTs and higher spin black hole solutions holographically dual to CFTs with W-symmetry. Journal Article Physical Review D 90 4 8 8 2014 2014-08-08 10.1103/PhysRevD.90.041903 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-16T14:29:46.9797616 2014-06-20T09:22:11.7585854 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Shouvik Datta 1 Justin R. David 2 Michael Ferlaino 3 Prem Kumar 0000-0003-0867-4213 4 0018050-02032015064949.pdf 1405.0015.pdf 2015-03-02T06:49:49.0600000 Output 145961 application/pdf Version of Record true 2014-07-02T00:00:00.0000000 true
title Universal correction to higher spin entanglement entropy
spellingShingle Universal correction to higher spin entanglement entropy
Prem Kumar
title_short Universal correction to higher spin entanglement entropy
title_full Universal correction to higher spin entanglement entropy
title_fullStr Universal correction to higher spin entanglement entropy
title_full_unstemmed Universal correction to higher spin entanglement entropy
title_sort Universal correction to higher spin entanglement entropy
author_id_str_mv 087fd097167d724ce1b13cb285741ef5
author_id_fullname_str_mv 087fd097167d724ce1b13cb285741ef5_***_Prem Kumar
author Prem Kumar
author2 Shouvik Datta
Justin R. David
Michael Ferlaino
Prem Kumar
format Journal article
container_title Physical Review D
container_volume 90
container_issue 4
publishDate 2014
institution Swansea University
doi_str_mv 10.1103/PhysRevD.90.041903
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 consider conformal field theories in two spacetime dimensions with W-algebra symmetries, deformed by a chemical potential μ for the spin-three current. We show that the order μ2 correction to the R ́enyi and entanglement entropies of a single interval in the deformed theory, on the infinite spatial line and at finite temperature, is universal. The correction is completely determined by the operator product expansion of two spin-three currents, and by the expectation values of the stress tensor, its descendants and its composites, evaluated on the n-sheeted Riemann surface branched along the interval. This explains the recently found agreement of the order μ2 correction across distinct free field CFTs and higher spin black hole solutions holographically dual to CFTs with W-symmetry.
published_date 2014-08-08T03:21:03Z
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score 10.998116

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