Derived brackets in bosonic string sigma-model
Autor(a) principal: | |
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Data de Publicação: | 2022 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.nuclphysb.2022.115874 http://hdl.handle.net/11449/241239 |
Resumo: | We study the worldsheet theory of bosonic string from the point of view of the BV formalism. We explicitly describe the derived Poisson structure which arises when we expand the Master Action near a Lagrangian submanifold. The resulting higher Poisson brackets are all degenerate and essentially constant along their symplectic leaves. Deformations of the worldsheet complex structures define a family of Lagrangian submanifolds, parametrized by Beltrami differential. The worldsheet action depends nonlinearly on the Beltrami differential, but the structure of nonlinearity is governed by the BV Master Equation. This helps to clarify the mechanism of holomorphic factorization of string amplitudes. |
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Repositório Institucional da UNESP |
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2946 |
spelling |
Derived brackets in bosonic string sigma-modelWe study the worldsheet theory of bosonic string from the point of view of the BV formalism. We explicitly describe the derived Poisson structure which arises when we expand the Master Action near a Lagrangian submanifold. The resulting higher Poisson brackets are all degenerate and essentially constant along their symplectic leaves. Deformations of the worldsheet complex structures define a family of Lagrangian submanifolds, parametrized by Beltrami differential. The worldsheet action depends nonlinearly on the Beltrami differential, but the structure of nonlinearity is governed by the BV Master Equation. This helps to clarify the mechanism of holomorphic factorization of string amplitudes.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Instituto de Fisica Teorica Universidade Estadual Paulista, R. Dr. Bento Teobaldo Ferraz 271, Bloco II – Barra FundaInstituto de Fisica Teorica Universidade Estadual Paulista, R. Dr. Bento Teobaldo Ferraz 271, Bloco II – Barra FundaFAPESP: 2016/01343-7FAPESP: 2019/21281-4Universidade Estadual Paulista (UNESP)Bernardes, Vinícius [UNESP]Mikhailov, Andrei [UNESP]Viana, Eggon [UNESP]2023-03-01T20:53:10Z2023-03-01T20:53:10Z2022-09-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.nuclphysb.2022.115874Nuclear Physics B, v. 982.0550-3213http://hdl.handle.net/11449/24123910.1016/j.nuclphysb.2022.1158742-s2.0-85132919868Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengNuclear Physics Binfo:eu-repo/semantics/openAccess2023-03-01T20:53:10Zoai:repositorio.unesp.br:11449/241239Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:23:08.649632Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Derived brackets in bosonic string sigma-model |
title |
Derived brackets in bosonic string sigma-model |
spellingShingle |
Derived brackets in bosonic string sigma-model Bernardes, Vinícius [UNESP] |
title_short |
Derived brackets in bosonic string sigma-model |
title_full |
Derived brackets in bosonic string sigma-model |
title_fullStr |
Derived brackets in bosonic string sigma-model |
title_full_unstemmed |
Derived brackets in bosonic string sigma-model |
title_sort |
Derived brackets in bosonic string sigma-model |
author |
Bernardes, Vinícius [UNESP] |
author_facet |
Bernardes, Vinícius [UNESP] Mikhailov, Andrei [UNESP] Viana, Eggon [UNESP] |
author_role |
author |
author2 |
Mikhailov, Andrei [UNESP] Viana, Eggon [UNESP] |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Bernardes, Vinícius [UNESP] Mikhailov, Andrei [UNESP] Viana, Eggon [UNESP] |
description |
We study the worldsheet theory of bosonic string from the point of view of the BV formalism. We explicitly describe the derived Poisson structure which arises when we expand the Master Action near a Lagrangian submanifold. The resulting higher Poisson brackets are all degenerate and essentially constant along their symplectic leaves. Deformations of the worldsheet complex structures define a family of Lagrangian submanifolds, parametrized by Beltrami differential. The worldsheet action depends nonlinearly on the Beltrami differential, but the structure of nonlinearity is governed by the BV Master Equation. This helps to clarify the mechanism of holomorphic factorization of string amplitudes. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-09-01 2023-03-01T20:53:10Z 2023-03-01T20:53:10Z |
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.2022.115874 Nuclear Physics B, v. 982. 0550-3213 http://hdl.handle.net/11449/241239 10.1016/j.nuclphysb.2022.115874 2-s2.0-85132919868 |
url |
http://dx.doi.org/10.1016/j.nuclphysb.2022.115874 http://hdl.handle.net/11449/241239 |
identifier_str_mv |
Nuclear Physics B, v. 982. 0550-3213 10.1016/j.nuclphysb.2022.115874 2-s2.0-85132919868 |
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.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 |
|
_version_ |
1808128925449060352 |