Some geometric aspects of non-linear sigma models

Detalhes bibliográficos
Autor(a) principal: Ferro, Dennis Eduardo Zavaleta [UNESP]
Data de Publicação: 2016
Tipo de documento: Dissertação
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/151647
Resumo: We review some relevant examples for String Theory of non-linear sigma models. These are bosonic strings propagating in curved background, the Wess-Zumino-Witten model and superstrings in flat and AdS superspace. The mathematical tools required for the study of these models (e.g. topological quantization, Cartan geometry, Lie superalgebras and geometry on coset spaces) are also described. Throughout the dissertation we have focused on classical aspects of these models such as the construction of the action and its symmetries where conditions for holomorphic symmetry of the bosonic string case were found.
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spelling Some geometric aspects of non-linear sigma modelsAlguns aspectos geométricos dos modelos sigma não linearesString theoryWZW modelStrings on AdSCoset superspacesTeoria de cordasModelo WZWCordas em AdSSuperpaços cosetWe review some relevant examples for String Theory of non-linear sigma models. These are bosonic strings propagating in curved background, the Wess-Zumino-Witten model and superstrings in flat and AdS superspace. The mathematical tools required for the study of these models (e.g. topological quantization, Cartan geometry, Lie superalgebras and geometry on coset spaces) are also described. Throughout the dissertation we have focused on classical aspects of these models such as the construction of the action and its symmetries where conditions for holomorphic symmetry of the bosonic string case were found.Nesta dissertação estudamos alguns exemplos de modelos sigma não lineares em Teoria de cordas. Estes são a corda bosónica se propagando em espaços curvos, o modelo Wess-Zumino-Witten e supercordas em superespaço plano e AdS. As ferramentas matemáticas que se precisam para o estudo destes modelos (e.g. quantização topológica, geometria de Cartan, super-álgebras de Lie e geometria em espaços coset) também são descritas. Ao longo desta dissertação focamos os aspectos clássicos destes modelos tais como a construção da ação e suas simetrias onde condições para serem estas holomorficas no caso da corda bosónica foram achadas.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Universidade Estadual Paulista (Unesp)Mikhailov, Andrei [UNESP]Universidade Estadual Paulista (Unesp)Ferro, Dennis Eduardo Zavaleta [UNESP]2017-09-19T19:20:32Z2017-09-19T19:20:32Z2016-08-15info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisapplication/pdfhttp://hdl.handle.net/11449/15164700089195433015015001P7enginfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESP2023-11-06T06:10:13Zoai:repositorio.unesp.br:11449/151647Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:01:39.045135Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Some geometric aspects of non-linear sigma models
Alguns aspectos geométricos dos modelos sigma não lineares
title Some geometric aspects of non-linear sigma models
spellingShingle Some geometric aspects of non-linear sigma models
Ferro, Dennis Eduardo Zavaleta [UNESP]
String theory
WZW model
Strings on AdS
Coset superspaces
Teoria de cordas
Modelo WZW
Cordas em AdS
Superpaços coset
title_short Some geometric aspects of non-linear sigma models
title_full Some geometric aspects of non-linear sigma models
title_fullStr Some geometric aspects of non-linear sigma models
title_full_unstemmed Some geometric aspects of non-linear sigma models
title_sort Some geometric aspects of non-linear sigma models
author Ferro, Dennis Eduardo Zavaleta [UNESP]
author_facet Ferro, Dennis Eduardo Zavaleta [UNESP]
author_role author
dc.contributor.none.fl_str_mv Mikhailov, Andrei [UNESP]
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Ferro, Dennis Eduardo Zavaleta [UNESP]
dc.subject.por.fl_str_mv String theory
WZW model
Strings on AdS
Coset superspaces
Teoria de cordas
Modelo WZW
Cordas em AdS
Superpaços coset
topic String theory
WZW model
Strings on AdS
Coset superspaces
Teoria de cordas
Modelo WZW
Cordas em AdS
Superpaços coset
description We review some relevant examples for String Theory of non-linear sigma models. These are bosonic strings propagating in curved background, the Wess-Zumino-Witten model and superstrings in flat and AdS superspace. The mathematical tools required for the study of these models (e.g. topological quantization, Cartan geometry, Lie superalgebras and geometry on coset spaces) are also described. Throughout the dissertation we have focused on classical aspects of these models such as the construction of the action and its symmetries where conditions for holomorphic symmetry of the bosonic string case were found.
publishDate 2016
dc.date.none.fl_str_mv 2016-08-15
2017-09-19T19:20:32Z
2017-09-19T19:20:32Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/masterThesis
format masterThesis
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/11449/151647
000891954
33015015001P7
url http://hdl.handle.net/11449/151647
identifier_str_mv 000891954
33015015001P7
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Estadual Paulista (Unesp)
publisher.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.source.none.fl_str_mv 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_ 1808128741691359232

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