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Higher spin entanglement entropy from CFT
Journal of High Energy Physics, Volume: 2014, Issue: 6
Swansea University Author: Prem Kumar
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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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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 |
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Journal of High Energy Physics |
container_volume |
2014 |
container_issue |
6 |
publishDate |
2014 |
institution |
Swansea University |
doi_str_mv |
10.1007/JHEP06(2014)096 |
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Faculty of Science and Engineering |
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Faculty of Science and Engineering |
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facultyofscienceandengineering |
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Faculty of Science and Engineering |
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School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics |
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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 |
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1763750545880776704 |
score |
11.030847 |