A geometrical point of view on linearized beta-deformations

Detalhes bibliográficos
Autor(a) principal: Mikhailov, Andrei [UNESP]
Data de Publicação: 2019
Outros Autores: Milian, Segundo P. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/s11005-019-01165-z
http://hdl.handle.net/11449/186067
Resumo: It is known that the supermultiplet of beta-deformations of N = 4 supersymmetric Yang-Mills theory can be described in terms of the exterior product of two adjoint representations of the superconformal algebra. We present a supergeometrical interpretation of this fact, by evaluating the deforming operator on some special coherent states in the space of supersingletons. We also discuss generalization of this approach to other finite-dimensional deformations of the N = 4 supersymmetric Yang-Mills theory.
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spelling A geometrical point of view on linearized beta-deformationsSupergeometryAdSCFT correspondenceRepresentations of Lie superalgebrasTwistor theoryScattering amplitudesIt is known that the supermultiplet of beta-deformations of N = 4 supersymmetric Yang-Mills theory can be described in terms of the exterior product of two adjoint representations of the superconformal algebra. We present a supergeometrical interpretation of this fact, by evaluating the deforming operator on some special coherent states in the space of supersingletons. We also discuss generalization of this approach to other finite-dimensional deformations of the N = 4 supersymmetric Yang-Mills theory.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)RFBRConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Univ Estadual Paulista, Inst Fis Teor, R Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo, BrazilUniv Estadual Paulista, Inst Fis Teor, R Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo, BrazilFAPESP: 2014/18634-9RFBR: 15-0199504CNPq: 154704/2014-8SpringerUniversidade Estadual Paulista (Unesp)Mikhailov, Andrei [UNESP]Milian, Segundo P. [UNESP]2019-10-04T12:40:54Z2019-10-04T12:40:54Z2019-09-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article1939-1960http://dx.doi.org/10.1007/s11005-019-01165-zLetters In Mathematical Physics. Dordrecht: Springer, v. 109, n. 9, p. 1939-1960, 2019.0377-9017http://hdl.handle.net/11449/18606710.1007/s11005-019-01165-zWOS:000482387500001Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengLetters In Mathematical Physicsinfo:eu-repo/semantics/openAccess2021-10-23T19:28:25Zoai:repositorio.unesp.br:11449/186067Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:32:38.407226Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv A geometrical point of view on linearized beta-deformations
title A geometrical point of view on linearized beta-deformations
spellingShingle A geometrical point of view on linearized beta-deformations
Mikhailov, Andrei [UNESP]
Supergeometry
AdS
CFT correspondence
Representations of Lie superalgebras
Twistor theory
Scattering amplitudes
title_short A geometrical point of view on linearized beta-deformations
title_full A geometrical point of view on linearized beta-deformations
title_fullStr A geometrical point of view on linearized beta-deformations
title_full_unstemmed A geometrical point of view on linearized beta-deformations
title_sort A geometrical point of view on linearized beta-deformations
author Mikhailov, Andrei [UNESP]
author_facet Mikhailov, Andrei [UNESP]
Milian, Segundo P. [UNESP]
author_role author
author2 Milian, Segundo P. [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Mikhailov, Andrei [UNESP]
Milian, Segundo P. [UNESP]
dc.subject.por.fl_str_mv Supergeometry
AdS
CFT correspondence
Representations of Lie superalgebras
Twistor theory
Scattering amplitudes
topic Supergeometry
AdS
CFT correspondence
Representations of Lie superalgebras
Twistor theory
Scattering amplitudes
description It is known that the supermultiplet of beta-deformations of N = 4 supersymmetric Yang-Mills theory can be described in terms of the exterior product of two adjoint representations of the superconformal algebra. We present a supergeometrical interpretation of this fact, by evaluating the deforming operator on some special coherent states in the space of supersingletons. We also discuss generalization of this approach to other finite-dimensional deformations of the N = 4 supersymmetric Yang-Mills theory.
publishDate 2019
dc.date.none.fl_str_mv 2019-10-04T12:40:54Z
2019-10-04T12:40:54Z
2019-09-01
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/s11005-019-01165-z
Letters In Mathematical Physics. Dordrecht: Springer, v. 109, n. 9, p. 1939-1960, 2019.
0377-9017
http://hdl.handle.net/11449/186067
10.1007/s11005-019-01165-z
WOS:000482387500001
url http://dx.doi.org/10.1007/s11005-019-01165-z
http://hdl.handle.net/11449/186067
identifier_str_mv Letters In Mathematical Physics. Dordrecht: Springer, v. 109, n. 9, p. 1939-1960, 2019.
0377-9017
10.1007/s11005-019-01165-z
WOS:000482387500001
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Letters In Mathematical Physics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 1939-1960
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_ 1808128823883988992

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