Deformations, renormgroup, symmetries, AdS/CFT
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.nuclphysb.2020.114918 http://hdl.handle.net/11449/196667 |
Resumo: | We consider the deformations of a supersymmetric quantum field theory by adding spacetime-dependent terms to the action. We propose to describe the renormalization of such deformations in terms of some cohomological invariants, a class of solutions of a Maurer-Cartan equation. We consider the strongly coupled limit of N = 4 supersymmetric Yang-Mills theory. In the context of AdS/CFT correspondence, we explain what corresponds to our invariants in classical supergravity. There is a leg amputation procedure, which constructs a solution of the Maurer-Cartan equation from tree diagramsof SUGRA. We consider a particular example of the beta-deformation. It is known that the leading term of the beta-function is cubic in the parameter of the beta-deformation. We give a cohomological interpretation of this leading term. We conjecture that it is actually encoded in some simpler cohomology class, which is quadratic in the parameter of the beta-deformation. (C) 2020 The Author. Published by Elsevier B.V. |
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Repositório Institucional da UNESP |
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Deformations, renormgroup, symmetries, AdS/CFTWe consider the deformations of a supersymmetric quantum field theory by adding spacetime-dependent terms to the action. We propose to describe the renormalization of such deformations in terms of some cohomological invariants, a class of solutions of a Maurer-Cartan equation. We consider the strongly coupled limit of N = 4 supersymmetric Yang-Mills theory. In the context of AdS/CFT correspondence, we explain what corresponds to our invariants in classical supergravity. There is a leg amputation procedure, which constructs a solution of the Maurer-Cartan equation from tree diagramsof SUGRA. We consider a particular example of the beta-deformation. It is known that the leading term of the beta-function is cubic in the parameter of the beta-deformation. We give a cohomological interpretation of this leading term. We conjecture that it is actually encoded in some simpler cohomology class, which is quadratic in the parameter of the beta-deformation. (C) 2020 The Author. Published by Elsevier B.V.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)RFBRUniv 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: RFBR 18-01-00460Elsevier B.V.Universidade Estadual Paulista (Unesp)Mikhailov, Andrei [UNESP]2020-12-10T19:52:20Z2020-12-10T19:52:20Z2020-03-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article41http://dx.doi.org/10.1016/j.nuclphysb.2020.114918Nuclear Physics B. Amsterdam: Elsevier, v. 952, 41 p., 2020.0550-3213http://hdl.handle.net/11449/19666710.1016/j.nuclphysb.2020.114918WOS:000518891200012Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNuclear Physics Binfo:eu-repo/semantics/openAccess2021-10-23T09:06:15Zoai:repositorio.unesp.br:11449/196667Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T15:52:00.275159Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Deformations, renormgroup, symmetries, AdS/CFT |
title |
Deformations, renormgroup, symmetries, AdS/CFT |
spellingShingle |
Deformations, renormgroup, symmetries, AdS/CFT Mikhailov, Andrei [UNESP] |
title_short |
Deformations, renormgroup, symmetries, AdS/CFT |
title_full |
Deformations, renormgroup, symmetries, AdS/CFT |
title_fullStr |
Deformations, renormgroup, symmetries, AdS/CFT |
title_full_unstemmed |
Deformations, renormgroup, symmetries, AdS/CFT |
title_sort |
Deformations, renormgroup, symmetries, AdS/CFT |
author |
Mikhailov, Andrei [UNESP] |
author_facet |
Mikhailov, Andrei [UNESP] |
author_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Mikhailov, Andrei [UNESP] |
description |
We consider the deformations of a supersymmetric quantum field theory by adding spacetime-dependent terms to the action. We propose to describe the renormalization of such deformations in terms of some cohomological invariants, a class of solutions of a Maurer-Cartan equation. We consider the strongly coupled limit of N = 4 supersymmetric Yang-Mills theory. In the context of AdS/CFT correspondence, we explain what corresponds to our invariants in classical supergravity. There is a leg amputation procedure, which constructs a solution of the Maurer-Cartan equation from tree diagramsof SUGRA. We consider a particular example of the beta-deformation. It is known that the leading term of the beta-function is cubic in the parameter of the beta-deformation. We give a cohomological interpretation of this leading term. We conjecture that it is actually encoded in some simpler cohomology class, which is quadratic in the parameter of the beta-deformation. (C) 2020 The Author. Published by Elsevier B.V. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-12-10T19:52:20Z 2020-12-10T19:52:20Z 2020-03-01 |
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/10.1016/j.nuclphysb.2020.114918 Nuclear Physics B. Amsterdam: Elsevier, v. 952, 41 p., 2020. 0550-3213 http://hdl.handle.net/11449/196667 10.1016/j.nuclphysb.2020.114918 WOS:000518891200012 |
url |
http://dx.doi.org/10.1016/j.nuclphysb.2020.114918 http://hdl.handle.net/11449/196667 |
identifier_str_mv |
Nuclear Physics B. Amsterdam: Elsevier, v. 952, 41 p., 2020. 0550-3213 10.1016/j.nuclphysb.2020.114918 WOS:000518891200012 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Nuclear Physics B |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
41 |
dc.publisher.none.fl_str_mv |
Elsevier B.V. |
publisher.none.fl_str_mv |
Elsevier B.V. |
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_ |
1808128574809440256 |