Integrable deformations of strings on symmetric spaces
Autor(a) principal: | |
---|---|
Data de Publicação: | 2014 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://link.springer.com/article/10.1007%2FJHEP11%282014%29009 http://hdl.handle.net/11449/130040 |
Resumo: | A general class of deformations of integrable sigma-models with symmetric space F/G target-spaces are found. These deformations involve defining the non-abelian T dual of the sigma-model and then replacing the coupling of the Lagrange multiplier imposing flatness with a gauged F/F WZW model. The original sigma-model is obtained in the limit of large level. The resulting deformed theories are shown to preserve both integrability and the equations-of-motion, but involve a deformation of the symplectic structure. It is shown that this deformed symplectic structure involves a linear combination of the original Poisson bracket and a generalization of the Faddeev-Reshetikhin Poisson bracket which we show can be re-expressed as two decoupled F current algebras. It is then shown that the deformation can be incorporated into the classical model of strings on R x F/G via a generalization of the Pohlmeyer reduction. In this case, in the limit of large sigma-model coupling it is shown that the theory becomes the relativistic symmetric space sine-Gordon theory. These results point to the existence of a deformation of this kind for the full Green-Schwarz superstring on AdS(5) x S-5. |
id |
UNSP_3111693ec1cb763442cf4c1244fd1819 |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/130040 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
spelling |
Integrable deformations of strings on symmetric spacesIntegrable Field TheoriesQuantum GroupsAdS-CFT CorrespondenceA general class of deformations of integrable sigma-models with symmetric space F/G target-spaces are found. These deformations involve defining the non-abelian T dual of the sigma-model and then replacing the coupling of the Lagrange multiplier imposing flatness with a gauged F/F WZW model. The original sigma-model is obtained in the limit of large level. The resulting deformed theories are shown to preserve both integrability and the equations-of-motion, but involve a deformation of the symplectic structure. It is shown that this deformed symplectic structure involves a linear combination of the original Poisson bracket and a generalization of the Faddeev-Reshetikhin Poisson bracket which we show can be re-expressed as two decoupled F current algebras. It is then shown that the deformation can be incorporated into the classical model of strings on R x F/G via a generalization of the Pohlmeyer reduction. In this case, in the limit of large sigma-model coupling it is shown that the theory becomes the relativistic symmetric space sine-Gordon theory. These results point to the existence of a deformation of this kind for the full Green-Schwarz superstring on AdS(5) x S-5.STFCMINECOSpanish Consolider-Ingenio Programme CPANXunta de GaliciaFEDERFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Swansea Univ, Dept Phys, Swansea SA2 8PP, W Glam, WalesUniv Santiago de Compostela, Dept Fis Particulas, Santiago De Compostela 15782, SpainUniv Santiago de Compostela, IGFAE, Santiago De Compostela 15782, SpainUniv Estadual Paulista, Inst Fis Teor IFT, BR-01140070 Sao Paulo, BrazilUniv Estadual Paulista, Inst Fis Teor IFT, BR-01140070 Sao Paulo, BrazilSTFC: ST/G000506/1MINECO: FPA2011-22594Spanish Consolider-Ingenio Programme CPAN: CSD2007-00042Xunta de Galicia: GRC2013-024FAPESP: 2013/23328-1SpringerSwansea UnivUniv Santiago de CompostelaUniversidade Estadual Paulista (Unesp)Hollowood, Timothy J.Luis Miramontes, J.Schmidtt, David M. [UNESP]2015-11-03T15:28:47Z2015-11-03T15:28:47Z2014-11-04info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article35application/pdfhttp://link.springer.com/article/10.1007%2FJHEP11%282014%29009Journal Of High Energy Physics. New York: Springer, n. 11, 35 p., 2014.1029-8479http://hdl.handle.net/11449/13004010.1007/JHEP11(2014)009WOS:000347907500002WOS000347907500002.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal Of High Energy Physics5.5411,227info:eu-repo/semantics/openAccess2023-12-24T06:17:32Zoai:repositorio.unesp.br:11449/130040Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:10:31.454247Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Integrable deformations of strings on symmetric spaces |
title |
Integrable deformations of strings on symmetric spaces |
spellingShingle |
Integrable deformations of strings on symmetric spaces Hollowood, Timothy J. Integrable Field Theories Quantum Groups AdS-CFT Correspondence |
title_short |
Integrable deformations of strings on symmetric spaces |
title_full |
Integrable deformations of strings on symmetric spaces |
title_fullStr |
Integrable deformations of strings on symmetric spaces |
title_full_unstemmed |
Integrable deformations of strings on symmetric spaces |
title_sort |
Integrable deformations of strings on symmetric spaces |
author |
Hollowood, Timothy J. |
author_facet |
Hollowood, Timothy J. Luis Miramontes, J. Schmidtt, David M. [UNESP] |
author_role |
author |
author2 |
Luis Miramontes, J. Schmidtt, David M. [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Swansea Univ Univ Santiago de Compostela Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Hollowood, Timothy J. Luis Miramontes, J. Schmidtt, David M. [UNESP] |
dc.subject.por.fl_str_mv |
Integrable Field Theories Quantum Groups AdS-CFT Correspondence |
topic |
Integrable Field Theories Quantum Groups AdS-CFT Correspondence |
description |
A general class of deformations of integrable sigma-models with symmetric space F/G target-spaces are found. These deformations involve defining the non-abelian T dual of the sigma-model and then replacing the coupling of the Lagrange multiplier imposing flatness with a gauged F/F WZW model. The original sigma-model is obtained in the limit of large level. The resulting deformed theories are shown to preserve both integrability and the equations-of-motion, but involve a deformation of the symplectic structure. It is shown that this deformed symplectic structure involves a linear combination of the original Poisson bracket and a generalization of the Faddeev-Reshetikhin Poisson bracket which we show can be re-expressed as two decoupled F current algebras. It is then shown that the deformation can be incorporated into the classical model of strings on R x F/G via a generalization of the Pohlmeyer reduction. In this case, in the limit of large sigma-model coupling it is shown that the theory becomes the relativistic symmetric space sine-Gordon theory. These results point to the existence of a deformation of this kind for the full Green-Schwarz superstring on AdS(5) x S-5. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-11-04 2015-11-03T15:28:47Z 2015-11-03T15:28:47Z |
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://link.springer.com/article/10.1007%2FJHEP11%282014%29009 Journal Of High Energy Physics. New York: Springer, n. 11, 35 p., 2014. 1029-8479 http://hdl.handle.net/11449/130040 10.1007/JHEP11(2014)009 WOS:000347907500002 WOS000347907500002.pdf |
url |
http://link.springer.com/article/10.1007%2FJHEP11%282014%29009 http://hdl.handle.net/11449/130040 |
identifier_str_mv |
Journal Of High Energy Physics. New York: Springer, n. 11, 35 p., 2014. 1029-8479 10.1007/JHEP11(2014)009 WOS:000347907500002 WOS000347907500002.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal Of High Energy Physics 5.541 1,227 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
35 application/pdf |
dc.publisher.none.fl_str_mv |
Springer |
publisher.none.fl_str_mv |
Springer |
dc.source.none.fl_str_mv |
Web of Science 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_ |
1808129293428981760 |