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Higher spin entanglement entropy from CFT

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

Journal of High Energy Physics, Volume: 2014, Issue: 6

Swansea University Author: Prem Kumar Orcid Logo

DOI (Published version): 10.1007/JHEP06(2014)096

Abstract

We consider free fermion and free boson CFTs in two dimensions, de- formed by a chemical potential μ for the spin-three current. For the CFT on the infinite spatial line, we calculate the finite temperature entanglement entropy of a single interval perturbatively to second order in μ in each of the...

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Published in: Journal of High Energy Physics
Published: 2014
URI: https://cronfa.swan.ac.uk/Record/cronfa17292
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spelling 2020-07-16T14:29:28.8516686 v2 17292 2014-02-08 Higher spin entanglement entropy from CFT 087fd097167d724ce1b13cb285741ef5 0000-0003-0867-4213 Prem Kumar Prem Kumar true false 2014-02-08 SPH We consider free fermion and free boson CFTs in two dimensions, de- formed by a chemical potential μ for the spin-three current. For the CFT on the infinite spatial line, we calculate the finite temperature entanglement entropy of a single interval perturbatively to second order in μ in each of the theories. We find that the result in each case is given by the same non-trivial function of temperature and interval length. Remarkably, we further obtain the same formula using a recent Wilson line proposal for the holographic entanglement entropy, in holomorphically factorized form, associated to the spin-three black hole in SL(3, R) × SL(3, R) Chern- Simons theory. Our result suggests that the order μ2 correction to the entanglement entropy may be universal for W-algebra CFTs with spin-three chemical potential, and constitutes a check of the holographic entanglement entropy proposal for higher spin theories of gravity in AdS3. Journal Article Journal of High Energy Physics 2014 6 17 6 2014 2014-06-17 10.1007/JHEP06(2014)096 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-16T14:29:28.8516686 2014-02-08T21:43:32.2994890 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 0017292-27042015193954.pdf JHEP06(2014)096.pdf 2015-04-27T19:39:54.7470000 Output 835557 application/pdf Version of Record true 2014-08-02T00:00:00.0000000 true
title Higher spin entanglement entropy from CFT
spellingShingle Higher spin entanglement entropy from CFT
Prem Kumar
title_short Higher spin entanglement entropy from CFT
title_full Higher spin entanglement entropy from CFT
title_fullStr Higher spin entanglement entropy from CFT
title_full_unstemmed Higher spin entanglement entropy from CFT
title_sort Higher spin entanglement entropy from CFT
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 Journal of High Energy Physics
container_volume 2014
container_issue 6
publishDate 2014
institution Swansea University
doi_str_mv 10.1007/JHEP06(2014)096
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 free fermion and free boson CFTs in two dimensions, de- formed by a chemical potential μ for the spin-three current. For the CFT on the infinite spatial line, we calculate the finite temperature entanglement entropy of a single interval perturbatively to second order in μ in each of the theories. We find that the result in each case is given by the same non-trivial function of temperature and interval length. Remarkably, we further obtain the same formula using a recent Wilson line proposal for the holographic entanglement entropy, in holomorphically factorized form, associated to the spin-three black hole in SL(3, R) × SL(3, R) Chern- Simons theory. Our result suggests that the order μ2 correction to the entanglement entropy may be universal for W-algebra CFTs with spin-three chemical potential, and constitutes a check of the holographic entanglement entropy proposal for higher spin theories of gravity in AdS3.
published_date 2014-06-17T03:19:56Z
_version_ 1763750545880776704
score 11.017039

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