Spin-1 duality in D dimensions
Autor(a) principal: | |
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Data de Publicação: | 2011 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevD.84.045027 http://hdl.handle.net/11449/226528 |
Resumo: | It is known that the Maxwell theory in D dimensions can be written in a first-order form (in derivatives) by introducing a totally antisymmetric field which leads to a (D-3)-form dual theory. Remarkably, one can replace the antisymmetric field by a symmetric rank-two tensor (Wμν=W νμ). Such master action establishes the duality between the Maxwell theory and a fourth-order higher-rank model in a D-dimensional flat space-time. A naive generalization to the curved space shows a connection between the recently found D=4 critical gravity and the Maxwell-theory plus a coupling term to the Ricci tensor (RμνAμAν). The mass of the spin-1 particle which appears in the D=4 critical gravity linearized around anti-de Sitter space is the same one obtained from the Ricci coupling term. We also work out, in flat space-time, the explicitly massive case (Maxwell-Proca) which is dual to a second-order theory for Wμν. © 2011 American Physical Society. |
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Repositório Institucional da UNESP |
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Spin-1 duality in D dimensionsIt is known that the Maxwell theory in D dimensions can be written in a first-order form (in derivatives) by introducing a totally antisymmetric field which leads to a (D-3)-form dual theory. Remarkably, one can replace the antisymmetric field by a symmetric rank-two tensor (Wμν=W νμ). Such master action establishes the duality between the Maxwell theory and a fourth-order higher-rank model in a D-dimensional flat space-time. A naive generalization to the curved space shows a connection between the recently found D=4 critical gravity and the Maxwell-theory plus a coupling term to the Ricci tensor (RμνAμAν). The mass of the spin-1 particle which appears in the D=4 critical gravity linearized around anti-de Sitter space is the same one obtained from the Ricci coupling term. We also work out, in flat space-time, the explicitly massive case (Maxwell-Proca) which is dual to a second-order theory for Wμν. © 2011 American Physical Society.UNESP Campusde Guaratinguetá DFQ, Avenida Doutor Ariberto Pereira da Cunha 333, CEP 12516-410, Guaratinguetá - SPUNESP Campusde Guaratinguetá DFQ, Avenida Doutor Ariberto Pereira da Cunha 333, CEP 12516-410, Guaratinguetá - SPUniversidade Estadual Paulista (UNESP)Dalmazi, D. [UNESP]Santos, R. C. [UNESP]2022-04-29T00:50:30Z2022-04-29T00:50:30Z2011-08-29info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevD.84.045027Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 84, n. 4, 2011.1550-79981550-2368http://hdl.handle.net/11449/22652810.1103/PhysRevD.84.0450272-s2.0-80052861389Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review D - Particles, Fields, Gravitation and Cosmologyinfo:eu-repo/semantics/openAccess2024-07-01T20:52:17Zoai:repositorio.unesp.br:11449/226528Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:06:45.274451Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Spin-1 duality in D dimensions |
title |
Spin-1 duality in D dimensions |
spellingShingle |
Spin-1 duality in D dimensions Dalmazi, D. [UNESP] |
title_short |
Spin-1 duality in D dimensions |
title_full |
Spin-1 duality in D dimensions |
title_fullStr |
Spin-1 duality in D dimensions |
title_full_unstemmed |
Spin-1 duality in D dimensions |
title_sort |
Spin-1 duality in D dimensions |
author |
Dalmazi, D. [UNESP] |
author_facet |
Dalmazi, D. [UNESP] Santos, R. C. [UNESP] |
author_role |
author |
author2 |
Santos, R. C. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Dalmazi, D. [UNESP] Santos, R. C. [UNESP] |
description |
It is known that the Maxwell theory in D dimensions can be written in a first-order form (in derivatives) by introducing a totally antisymmetric field which leads to a (D-3)-form dual theory. Remarkably, one can replace the antisymmetric field by a symmetric rank-two tensor (Wμν=W νμ). Such master action establishes the duality between the Maxwell theory and a fourth-order higher-rank model in a D-dimensional flat space-time. A naive generalization to the curved space shows a connection between the recently found D=4 critical gravity and the Maxwell-theory plus a coupling term to the Ricci tensor (RμνAμAν). The mass of the spin-1 particle which appears in the D=4 critical gravity linearized around anti-de Sitter space is the same one obtained from the Ricci coupling term. We also work out, in flat space-time, the explicitly massive case (Maxwell-Proca) which is dual to a second-order theory for Wμν. © 2011 American Physical Society. |
publishDate |
2011 |
dc.date.none.fl_str_mv |
2011-08-29 2022-04-29T00:50:30Z 2022-04-29T00:50:30Z |
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/PhysRevD.84.045027 Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 84, n. 4, 2011. 1550-7998 1550-2368 http://hdl.handle.net/11449/226528 10.1103/PhysRevD.84.045027 2-s2.0-80052861389 |
url |
http://dx.doi.org/10.1103/PhysRevD.84.045027 http://hdl.handle.net/11449/226528 |
identifier_str_mv |
Physical Review D - Particles, Fields, Gravitation and Cosmology, v. 84, n. 4, 2011. 1550-7998 1550-2368 10.1103/PhysRevD.84.045027 2-s2.0-80052861389 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review D - Particles, Fields, Gravitation and Cosmology |
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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1808128897288503296 |