Quantum corrections to finite radius holography and holographic entanglement entropy
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/JHEP05(2020)006 http://hdl.handle.net/11449/200451 |
Resumo: | We calculate quantum corrections to holographic entanglement entropy in the proposed duality between TT¯ -deformed holographic 2D CFTs and gravity in AdS3 with a finite cutoff. We first establish the dictionary between the two theories by mapping the flow equation of the deformed CFT to the bulk Wheeler-DeWitt equation. The latter reduces to an ordinary differential equation for the sphere partition function, which we solve to find the entanglement entropy for an entangling surface consisting of two antipodal points on a sphere. The entanglement entropy in the inverse central charge expansion yields the expectation value of the bulk length operator plus the entropy of length fluctuations, in accordance with the Ryu-Takayanagi formula and its generalization due to Faulkner, Lewkowycz, and Maldacena. Special attention is paid to the conformal mode problem and its resolution by a choice of contour for the gravitational path integral. |
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Repositório Institucional da UNESP |
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2946 |
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Quantum corrections to finite radius holography and holographic entanglement entropyAdS-CFT CorrespondenceConformal Field TheoryWe calculate quantum corrections to holographic entanglement entropy in the proposed duality between TT¯ -deformed holographic 2D CFTs and gravity in AdS3 with a finite cutoff. We first establish the dictionary between the two theories by mapping the flow equation of the deformed CFT to the bulk Wheeler-DeWitt equation. The latter reduces to an ordinary differential equation for the sphere partition function, which we solve to find the entanglement entropy for an entangling surface consisting of two antipodal points on a sphere. The entanglement entropy in the inverse central charge expansion yields the expectation value of the bulk length operator plus the entropy of length fluctuations, in accordance with the Ryu-Takayanagi formula and its generalization due to Faulkner, Lewkowycz, and Maldacena. Special attention is paid to the conformal mode problem and its resolution by a choice of contour for the gravitational path integral.Perimeter Institute for Theoretical Physics, 31 Caroline St. NInstituto de Física Teórica UNESP-Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271, Bl. IIInstituto de Física Teórica UNESP-Universidade Estadual Paulista, R. Dr. Bento T. Ferraz 271, Bl. IIPerimeter Institute for Theoretical PhysicsUniversidade Estadual Paulista (Unesp)Donnelly, WilliamLePage, EliseLi, Yan-YanPereira, Andre [UNESP]Shyam, Vasudev2020-12-12T02:06:59Z2020-12-12T02:06:59Z2020-05-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/JHEP05(2020)006Journal of High Energy Physics, v. 2020, n. 5, 2020.1029-84791126-6708http://hdl.handle.net/11449/20045110.1007/JHEP05(2020)0062-s2.0-85085112284Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of High Energy Physicsinfo:eu-repo/semantics/openAccess2021-10-23T12:40:04Zoai:repositorio.unesp.br:11449/200451Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:50:30.283858Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Quantum corrections to finite radius holography and holographic entanglement entropy |
title |
Quantum corrections to finite radius holography and holographic entanglement entropy |
spellingShingle |
Quantum corrections to finite radius holography and holographic entanglement entropy Donnelly, William AdS-CFT Correspondence Conformal Field Theory |
title_short |
Quantum corrections to finite radius holography and holographic entanglement entropy |
title_full |
Quantum corrections to finite radius holography and holographic entanglement entropy |
title_fullStr |
Quantum corrections to finite radius holography and holographic entanglement entropy |
title_full_unstemmed |
Quantum corrections to finite radius holography and holographic entanglement entropy |
title_sort |
Quantum corrections to finite radius holography and holographic entanglement entropy |
author |
Donnelly, William |
author_facet |
Donnelly, William LePage, Elise Li, Yan-Yan Pereira, Andre [UNESP] Shyam, Vasudev |
author_role |
author |
author2 |
LePage, Elise Li, Yan-Yan Pereira, Andre [UNESP] Shyam, Vasudev |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Perimeter Institute for Theoretical Physics Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Donnelly, William LePage, Elise Li, Yan-Yan Pereira, Andre [UNESP] Shyam, Vasudev |
dc.subject.por.fl_str_mv |
AdS-CFT Correspondence Conformal Field Theory |
topic |
AdS-CFT Correspondence Conformal Field Theory |
description |
We calculate quantum corrections to holographic entanglement entropy in the proposed duality between TT¯ -deformed holographic 2D CFTs and gravity in AdS3 with a finite cutoff. We first establish the dictionary between the two theories by mapping the flow equation of the deformed CFT to the bulk Wheeler-DeWitt equation. The latter reduces to an ordinary differential equation for the sphere partition function, which we solve to find the entanglement entropy for an entangling surface consisting of two antipodal points on a sphere. The entanglement entropy in the inverse central charge expansion yields the expectation value of the bulk length operator plus the entropy of length fluctuations, in accordance with the Ryu-Takayanagi formula and its generalization due to Faulkner, Lewkowycz, and Maldacena. Special attention is paid to the conformal mode problem and its resolution by a choice of contour for the gravitational path integral. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-12-12T02:06:59Z 2020-12-12T02:06:59Z 2020-05-01 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1007/JHEP05(2020)006 Journal of High Energy Physics, v. 2020, n. 5, 2020. 1029-8479 1126-6708 http://hdl.handle.net/11449/200451 10.1007/JHEP05(2020)006 2-s2.0-85085112284 |
url |
http://dx.doi.org/10.1007/JHEP05(2020)006 http://hdl.handle.net/11449/200451 |
identifier_str_mv |
Journal of High Energy Physics, v. 2020, n. 5, 2020. 1029-8479 1126-6708 10.1007/JHEP05(2020)006 2-s2.0-85085112284 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of High Energy Physics |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808128708855201792 |