Wiedemann-Franz laws and Sl(2, ℤ) duality in AdS/CMT holographic duals and one-dimensional effective actions for them
Autor(a) principal: | |
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Data de Publicação: | 2021 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/JHEP05(2021)092 http://hdl.handle.net/11449/207729 |
Resumo: | In this paper we study the Wiedemann-Franz laws for transport in 2+1 dimensions, and the action of Sl(2, ℤ) on this transport, for theories with an AdS/CMT dual. We find that Sl(2, ℤ) restricts the RG-like flow of conductivities and that the Wiedemann-Franz law is L¯=κ¯/(Tσ)=cg42π/3, from the weakly coupled gravity dual. In a self-dual theory this value is also the value of L = κ/(Tσ) in the weakly coupled field theory description. Using the formalism of a 0+1 dimensional effective action for both generalized SY Kq models and the AdS4 gravity dual, we calculate the transport coefficients and show how they can be matched at large q. We construct a generalization of this effective action that is invariant under Sl(2, ℤ) and can describe vortex conduction and integer quantum Hall effect. |
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Wiedemann-Franz laws and Sl(2, ℤ) duality in AdS/CMT holographic duals and one-dimensional effective actions for themAdS-CFT CorrespondenceDuality in Gauge Field TheoriesHolography and condensed matter physics (AdS/CMT)In this paper we study the Wiedemann-Franz laws for transport in 2+1 dimensions, and the action of Sl(2, ℤ) on this transport, for theories with an AdS/CMT dual. We find that Sl(2, ℤ) restricts the RG-like flow of conductivities and that the Wiedemann-Franz law is L¯=κ¯/(Tσ)=cg42π/3, from the weakly coupled gravity dual. In a self-dual theory this value is also the value of L = κ/(Tσ) in the weakly coupled field theory description. Using the formalism of a 0+1 dimensional effective action for both generalized SY Kq models and the AdS4 gravity dual, we calculate the transport coefficients and show how they can be matched at large q. We construct a generalization of this effective action that is invariant under Sl(2, ℤ) and can describe vortex conduction and integer quantum Hall effect.International Institute of Physics Universidade Federal do Rio Grande do Norte, Campus Universitário, Lagoa NovaInstitute for Theoretical and Experimental Physics, B. Cheremushkinskaya 25Instituto 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. IIUniversidade Federal do Rio Grande do NorteInstitute for Theoretical and Experimental PhysicsUniversidade Estadual Paulista (Unesp)Melnikov, DmitryNastase, Horatiu [UNESP]2021-06-25T11:00:01Z2021-06-25T11:00:01Z2021-05-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1007/JHEP05(2021)092Journal of High Energy Physics, v. 2021, n. 5, 2021.1029-8479http://hdl.handle.net/11449/20772910.1007/JHEP05(2021)0922-s2.0-85105759792Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of High Energy Physicsinfo:eu-repo/semantics/openAccess2021-10-23T17:45:57Zoai:repositorio.unesp.br:11449/207729Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:34:19.847846Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Wiedemann-Franz laws and Sl(2, ℤ) duality in AdS/CMT holographic duals and one-dimensional effective actions for them |
title |
Wiedemann-Franz laws and Sl(2, ℤ) duality in AdS/CMT holographic duals and one-dimensional effective actions for them |
spellingShingle |
Wiedemann-Franz laws and Sl(2, ℤ) duality in AdS/CMT holographic duals and one-dimensional effective actions for them Melnikov, Dmitry AdS-CFT Correspondence Duality in Gauge Field Theories Holography and condensed matter physics (AdS/CMT) |
title_short |
Wiedemann-Franz laws and Sl(2, ℤ) duality in AdS/CMT holographic duals and one-dimensional effective actions for them |
title_full |
Wiedemann-Franz laws and Sl(2, ℤ) duality in AdS/CMT holographic duals and one-dimensional effective actions for them |
title_fullStr |
Wiedemann-Franz laws and Sl(2, ℤ) duality in AdS/CMT holographic duals and one-dimensional effective actions for them |
title_full_unstemmed |
Wiedemann-Franz laws and Sl(2, ℤ) duality in AdS/CMT holographic duals and one-dimensional effective actions for them |
title_sort |
Wiedemann-Franz laws and Sl(2, ℤ) duality in AdS/CMT holographic duals and one-dimensional effective actions for them |
author |
Melnikov, Dmitry |
author_facet |
Melnikov, Dmitry Nastase, Horatiu [UNESP] |
author_role |
author |
author2 |
Nastase, Horatiu [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Federal do Rio Grande do Norte Institute for Theoretical and Experimental Physics Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Melnikov, Dmitry Nastase, Horatiu [UNESP] |
dc.subject.por.fl_str_mv |
AdS-CFT Correspondence Duality in Gauge Field Theories Holography and condensed matter physics (AdS/CMT) |
topic |
AdS-CFT Correspondence Duality in Gauge Field Theories Holography and condensed matter physics (AdS/CMT) |
description |
In this paper we study the Wiedemann-Franz laws for transport in 2+1 dimensions, and the action of Sl(2, ℤ) on this transport, for theories with an AdS/CMT dual. We find that Sl(2, ℤ) restricts the RG-like flow of conductivities and that the Wiedemann-Franz law is L¯=κ¯/(Tσ)=cg42π/3, from the weakly coupled gravity dual. In a self-dual theory this value is also the value of L = κ/(Tσ) in the weakly coupled field theory description. Using the formalism of a 0+1 dimensional effective action for both generalized SY Kq models and the AdS4 gravity dual, we calculate the transport coefficients and show how they can be matched at large q. We construct a generalization of this effective action that is invariant under Sl(2, ℤ) and can describe vortex conduction and integer quantum Hall effect. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-06-25T11:00:01Z 2021-06-25T11:00:01Z 2021-05-01 |
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(2021)092 Journal of High Energy Physics, v. 2021, n. 5, 2021. 1029-8479 http://hdl.handle.net/11449/207729 10.1007/JHEP05(2021)092 2-s2.0-85105759792 |
url |
http://dx.doi.org/10.1007/JHEP05(2021)092 http://hdl.handle.net/11449/207729 |
identifier_str_mv |
Journal of High Energy Physics, v. 2021, n. 5, 2021. 1029-8479 10.1007/JHEP05(2021)092 2-s2.0-85105759792 |
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_ |
1808129337600245760 |