Quantum corrections to minimal surfaces with mixed three-form flux

We obtain the ratio of semiclassical partition functions for the extension under mixed flux of the minimal surfaces subtending a circumference and a line in Euclidean AdS(3) x S-3 x T-4. We reduce the problem to the computation of a set of functional determinants. If the Ramond-Ramond flux does not...

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Detalhes bibliográficos
Autores: Hernández Redondo, Rafael, Miguel Nieto, Juan, Ruiz Gil, Roberto
Tipo de documento: artigo
Data de publicação:2020
País:España
Recursos:Universidad Complutense de Madrid (UCM)
Repositório:Docta Complutense
Idioma:inglês
OAI Identifier:oai:docta.ucm.es:20.500.14352/6078
Acesso em linha:https://hdl.handle.net/20.500.14352/6078
Access Level:Acceso aberto
Palavra-chave:53
Strings
Física (Física)
22 Física
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spelling Quantum corrections to minimal surfaces with mixed three-form fluxHernández Redondo, RafaelMiguel Nieto, JuanRuiz Gil, Roberto53StringsFísica (Física)22 FísicaWe obtain the ratio of semiclassical partition functions for the extension under mixed flux of the minimal surfaces subtending a circumference and a line in Euclidean AdS(3) x S-3 x T-4. We reduce the problem to the computation of a set of functional determinants. If the Ramond-Ramond flux does not vanish, we find that the contribution of the B-field is comprised in the conformal anomaly. In this case, we successively apply the Gel'fand-Yaglom method and the Abel-Plana formula to the flat-measure determinants. To cancel the resultant infrared divergences, we shift the regularization of the sum over half-integers depending on whether it corresponds to massive or massless fermionic modes. We show that the result is compatible with the zeta-function regularization approach. In the limit of pure Neveu-Schwarz-Neveu-Schwarz flux we argue that the computation trivializes. We extend the reasoning to other surfaces with the same behavior in this regime.American Physical SocietyUniversidad Complutense de Madrid20202020-01-2720202020-01-27journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/6078reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Atribución 3.0 Españahttps://creativecommons.org/licenses/by/3.0/es/info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/60782026-06-02T12:44:21Z
dc.title.none.fl_str_mv Quantum corrections to minimal surfaces with mixed three-form flux
title Quantum corrections to minimal surfaces with mixed three-form flux
spellingShingle Quantum corrections to minimal surfaces with mixed three-form flux
Hernández Redondo, Rafael
53
Strings
Física (Física)
22 Física
title_short Quantum corrections to minimal surfaces with mixed three-form flux
title_full Quantum corrections to minimal surfaces with mixed three-form flux
title_fullStr Quantum corrections to minimal surfaces with mixed three-form flux
title_full_unstemmed Quantum corrections to minimal surfaces with mixed three-form flux
title_sort Quantum corrections to minimal surfaces with mixed three-form flux
dc.creator.none.fl_str_mv Hernández Redondo, Rafael
Miguel Nieto, Juan
Ruiz Gil, Roberto
author Hernández Redondo, Rafael
author_facet Hernández Redondo, Rafael
Miguel Nieto, Juan
Ruiz Gil, Roberto
author_role author
author2 Miguel Nieto, Juan
Ruiz Gil, Roberto
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 53
Strings
Física (Física)
22 Física
topic 53
Strings
Física (Física)
22 Física
description We obtain the ratio of semiclassical partition functions for the extension under mixed flux of the minimal surfaces subtending a circumference and a line in Euclidean AdS(3) x S-3 x T-4. We reduce the problem to the computation of a set of functional determinants. If the Ramond-Ramond flux does not vanish, we find that the contribution of the B-field is comprised in the conformal anomaly. In this case, we successively apply the Gel'fand-Yaglom method and the Abel-Plana formula to the flat-measure determinants. To cancel the resultant infrared divergences, we shift the regularization of the sum over half-integers depending on whether it corresponds to massive or massless fermionic modes. We show that the result is compatible with the zeta-function regularization approach. In the limit of pure Neveu-Schwarz-Neveu-Schwarz flux we argue that the computation trivializes. We extend the reasoning to other surfaces with the same behavior in this regime.
publishDate 2020
dc.date.none.fl_str_mv 2020
2020-01-27
2020
2020-01-27
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/6078
url https://hdl.handle.net/20.500.14352/6078
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Atribución 3.0 España
https://creativecommons.org/licenses/by/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300724

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