No Cover Image

Journal article 1457 views 167 downloads

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...

Full description

Published in: Journal of High Energy Physics
Published: 2014
URI: https://cronfa.swan.ac.uk/Record/cronfa17292
Tags: Add Tag
No Tags, Be the first to tag this record!
first_indexed 2014-02-09T03:05:56Z
last_indexed 2020-07-16T18:30:02Z
id cronfa17292
recordtype SURis
fullrecord <?xml version="1.0"?><rfc1807><datestamp>2020-07-16T14:29:28.8516686</datestamp><bib-version>v2</bib-version><id>17292</id><entry>2014-02-08</entry><title>Higher spin entanglement entropy from CFT</title><swanseaauthors><author><sid>087fd097167d724ce1b13cb285741ef5</sid><ORCID>0000-0003-0867-4213</ORCID><firstname>Prem</firstname><surname>Kumar</surname><name>Prem Kumar</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2014-02-08</date><deptcode>SPH</deptcode><abstract>We consider free fermion and free boson CFTs in two dimensions, de- formed by a chemical potential &#x3BC; 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 &#x3BC; 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) &#xD7; SL(3, R) Chern- Simons theory. Our result suggests that the order &#x3BC;2 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.</abstract><type>Journal Article</type><journal>Journal of High Energy Physics</journal><volume>2014</volume><journalNumber>6</journalNumber><publisher/><keywords/><publishedDay>17</publishedDay><publishedMonth>6</publishedMonth><publishedYear>2014</publishedYear><publishedDate>2014-06-17</publishedDate><doi>10.1007/JHEP06(2014)096</doi><url/><notes/><college>COLLEGE NANME</college><department>Physics</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>SPH</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2020-07-16T14:29:28.8516686</lastEdited><Created>2014-02-08T21:43:32.2994890</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Biosciences, Geography and Physics - Physics</level></path><authors><author><firstname>Shouvik</firstname><surname>Datta</surname><order>1</order></author><author><firstname>Justin R.</firstname><surname>David</surname><order>2</order></author><author><firstname>Michael</firstname><surname>Ferlaino</surname><order>3</order></author><author><firstname>Prem</firstname><surname>Kumar</surname><orcid>0000-0003-0867-4213</orcid><order>4</order></author></authors><documents><document><filename>0017292-27042015193954.pdf</filename><originalFilename>JHEP06(2014)096.pdf</originalFilename><uploaded>2015-04-27T19:39:54.7470000</uploaded><type>Output</type><contentLength>835557</contentLength><contentType>application/pdf</contentType><version>Version of Record</version><cronfaStatus>true</cronfaStatus><embargoDate>2014-08-02T00:00:00.0000000</embargoDate><copyrightCorrect>true</copyrightCorrect></document></documents><OutputDurs/></rfc1807>
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 11.030847