Towards a realization of the condensed-matter-gravity correspondence in string theory via consistent Abelian truncation of the Aharony-Bergman-Jafferis- Maldacena model

Detalhes bibliográficos
Autor(a) principal: Mohammed, Asadig
Data de Publicação: 2012
Outros Autores: Murugan, Jeff, Nastase, Horatiu [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1103/PhysRevLett.109.181601
http://hdl.handle.net/11449/227026
Resumo: We present an embedding of the three-dimensional relativistic Landau-Ginzburg model for condensed matter systems in an N=6, U(N)×U(N) Chern-Simons-matter theory [the Aharony-Bergman-Jafferis-Maldacena model] by consistently truncating the latter to an Abelian effective field theory encoding the collective dynamics of O(N) of the O(N2) modes. In fact, depending on the vacuum expectation value on one of the Aharony-Bergman-Jafferis-Maldacena scalars, a mass deformation parameter μ and the Chern-Simons level number k, our Abelianization prescription allows us to interpolate between the Abelian Higgs model with its usual multivortex solutions and a φ4 theory. We sketch a simple condensed matter model that reproduces all the salient features of the Abelianization. In this context, the Abelianization can be interpreted as giving a dimensional reduction from four dimensions. © 2012 American Physical Society.
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spelling Towards a realization of the condensed-matter-gravity correspondence in string theory via consistent Abelian truncation of the Aharony-Bergman-Jafferis- Maldacena modelWe present an embedding of the three-dimensional relativistic Landau-Ginzburg model for condensed matter systems in an N=6, U(N)×U(N) Chern-Simons-matter theory [the Aharony-Bergman-Jafferis-Maldacena model] by consistently truncating the latter to an Abelian effective field theory encoding the collective dynamics of O(N) of the O(N2) modes. In fact, depending on the vacuum expectation value on one of the Aharony-Bergman-Jafferis-Maldacena scalars, a mass deformation parameter μ and the Chern-Simons level number k, our Abelianization prescription allows us to interpolate between the Abelian Higgs model with its usual multivortex solutions and a φ4 theory. We sketch a simple condensed matter model that reproduces all the salient features of the Abelianization. In this context, the Abelianization can be interpreted as giving a dimensional reduction from four dimensions. © 2012 American Physical Society.Laboratory for Quantum Gravity and Strings Department of Mathematics and Applied Mathematics University of Cape Town, Private Bag, Rondebosch 7700Instituto de Física Teórica UNESP-Universidade Estadual Paulista, Rua Dr. Bento T. Ferraz 271, Bloco II, São Paulo 01140-070, São PauloInstituto de Física Teórica UNESP-Universidade Estadual Paulista, Rua Dr. Bento T. Ferraz 271, Bloco II, São Paulo 01140-070, São PauloUniversity of Cape TownUniversidade Estadual Paulista (UNESP)Mohammed, AsadigMurugan, JeffNastase, Horatiu [UNESP]2022-04-29T06:01:21Z2022-04-29T06:01:21Z2012-10-31info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevLett.109.181601Physical Review Letters, v. 109, n. 18, 2012.0031-90071079-7114http://hdl.handle.net/11449/22702610.1103/PhysRevLett.109.1816012-s2.0-84868327504Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Lettersinfo:eu-repo/semantics/openAccess2022-04-29T06:01:21Zoai:repositorio.unesp.br:11449/227026Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462022-04-29T06:01:21Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Towards a realization of the condensed-matter-gravity correspondence in string theory via consistent Abelian truncation of the Aharony-Bergman-Jafferis- Maldacena model
title Towards a realization of the condensed-matter-gravity correspondence in string theory via consistent Abelian truncation of the Aharony-Bergman-Jafferis- Maldacena model
spellingShingle Towards a realization of the condensed-matter-gravity correspondence in string theory via consistent Abelian truncation of the Aharony-Bergman-Jafferis- Maldacena model
Mohammed, Asadig
title_short Towards a realization of the condensed-matter-gravity correspondence in string theory via consistent Abelian truncation of the Aharony-Bergman-Jafferis- Maldacena model
title_full Towards a realization of the condensed-matter-gravity correspondence in string theory via consistent Abelian truncation of the Aharony-Bergman-Jafferis- Maldacena model
title_fullStr Towards a realization of the condensed-matter-gravity correspondence in string theory via consistent Abelian truncation of the Aharony-Bergman-Jafferis- Maldacena model
title_full_unstemmed Towards a realization of the condensed-matter-gravity correspondence in string theory via consistent Abelian truncation of the Aharony-Bergman-Jafferis- Maldacena model
title_sort Towards a realization of the condensed-matter-gravity correspondence in string theory via consistent Abelian truncation of the Aharony-Bergman-Jafferis- Maldacena model
author Mohammed, Asadig
author_facet Mohammed, Asadig
Murugan, Jeff
Nastase, Horatiu [UNESP]
author_role author
author2 Murugan, Jeff
Nastase, Horatiu [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv University of Cape Town
Universidade Estadual Paulista (UNESP)
dc.contributor.author.fl_str_mv Mohammed, Asadig
Murugan, Jeff
Nastase, Horatiu [UNESP]
description We present an embedding of the three-dimensional relativistic Landau-Ginzburg model for condensed matter systems in an N=6, U(N)×U(N) Chern-Simons-matter theory [the Aharony-Bergman-Jafferis-Maldacena model] by consistently truncating the latter to an Abelian effective field theory encoding the collective dynamics of O(N) of the O(N2) modes. In fact, depending on the vacuum expectation value on one of the Aharony-Bergman-Jafferis-Maldacena scalars, a mass deformation parameter μ and the Chern-Simons level number k, our Abelianization prescription allows us to interpolate between the Abelian Higgs model with its usual multivortex solutions and a φ4 theory. We sketch a simple condensed matter model that reproduces all the salient features of the Abelianization. In this context, the Abelianization can be interpreted as giving a dimensional reduction from four dimensions. © 2012 American Physical Society.
publishDate 2012
dc.date.none.fl_str_mv 2012-10-31
2022-04-29T06:01:21Z
2022-04-29T06:01:21Z
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/10.1103/PhysRevLett.109.181601
Physical Review Letters, v. 109, n. 18, 2012.
0031-9007
1079-7114
http://hdl.handle.net/11449/227026
10.1103/PhysRevLett.109.181601
2-s2.0-84868327504
url http://dx.doi.org/10.1103/PhysRevLett.109.181601
http://hdl.handle.net/11449/227026
identifier_str_mv Physical Review Letters, v. 109, n. 18, 2012.
0031-9007
1079-7114
10.1103/PhysRevLett.109.181601
2-s2.0-84868327504
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Physical Review Letters
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
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