Aspects of supersymmetric Gauge theories
| Ano de defesa: | 2021 |
|---|---|
| Autor(a) principal: | |
| Orientador(a): | |
| Banca de defesa: | |
| Tipo de documento: | Dissertação |
| Tipo de acesso: | Acesso aberto |
| Idioma: | eng |
| Instituição de defesa: |
Universidade Estadual Paulista (Unesp)
|
| Programa de Pós-Graduação: |
Não Informado pela instituição
|
| Departamento: |
Não Informado pela instituição
|
| País: |
Não Informado pela instituição
|
| Palavras-chave em Português: | |
| Palavras-chave em Inglês: | |
| Link de acesso: | http://hdl.handle.net/11449/216610 |
Resumo: | Esta dissertação tem como foco revisar alguns dos mais importantes avanços no estudo de Teorias de Campo Supersimétricas que ocorreram desde 1994. Mais especificamente, o foco será dado a teorias d = 4, N = 2 super Yang-Mills e seu comportamento a baixas energias. Iremos apresentar uma revisão da teoria de Seiberg-Witten para o caso de Yang-Mills supersimétrico puro com grupo de gauge SU(2), bem como uma generalização para teorias com grupo de gauge SU(N). Também iremos fornecer uma revisão do procedimento de contagem de instantons que proporciona a derivação do prepotencial de Seiberg-Witten. Ao longo do trabalho, iremos encontrar diversas conexões interessantes com a Matemática, sendo exemplos notórios as Teorias de Campos Topológicas e Localização. |
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Gomide, João Pedro de Rezende [UNESP]Universidade Estadual Paulista (Unesp)Vieira, Pedro Gil MartinsGaiotto, DavideBerkovits, Nathan Jacob [UNESP]2022-02-15T17:59:20Z2022-02-15T17:59:20Z2021-12-21http://hdl.handle.net/11449/21661033015015001P7Esta dissertação tem como foco revisar alguns dos mais importantes avanços no estudo de Teorias de Campo Supersimétricas que ocorreram desde 1994. Mais especificamente, o foco será dado a teorias d = 4, N = 2 super Yang-Mills e seu comportamento a baixas energias. Iremos apresentar uma revisão da teoria de Seiberg-Witten para o caso de Yang-Mills supersimétrico puro com grupo de gauge SU(2), bem como uma generalização para teorias com grupo de gauge SU(N). Também iremos fornecer uma revisão do procedimento de contagem de instantons que proporciona a derivação do prepotencial de Seiberg-Witten. Ao longo do trabalho, iremos encontrar diversas conexões interessantes com a Matemática, sendo exemplos notórios as Teorias de Campos Topológicas e Localização.This dissertation is aimed at reviewing some of the most important developments in the study of Supersymmetric Field Theories that took place since 1994. More specifically, the focus will be on d = 4, N = 2 SYM theories and their low-energy behavior. We will provide a review of Seiberg-Witten theory for the case of pure SU(2) supersymmetric Yang-Mills, as well as a generalization for theories with gauge group SU(N). We will also review the instanton counting procedure which yields a derivation of the Seiberg-Witten prepotential. Throughout this work we will encounter many interesting connections with Mathematics, Topological Field Theory and Localization being the notable examples.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)FAPESP: 2019/14061-8engUniversidade Estadual Paulista (Unesp)Teoria de campos (Física)SupersimetriaTeoria quântica de camposField theory (Physics)SupersymmetryQuantum field theoryAspects of supersymmetric Gauge theoriesAspectos de teorias de Gauge supersimétricasinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPFísica - IFTFísicaSupersymmetric quantum field theoryUniversidade Estadual Paulista (UNESP), Instituto de Física Teórica (IFT), São PauloOnlineBanca públicaPublication41d94a5b-139b-457c-90a7-77b71f4e94dfvirtual::289062-141d94a5b-139b-457c-90a7-77b71f4e94dfvirtual::289062-106a6349b-d990-4363-854b-22a3c7bca6d4virtual::286747-106a6349b-d990-4363-854b-22a3c7bca6d4virtual::286747-1THUMBNAILgomide_jpr_me_ift.pdf.jpgWritten by FormatFilter org.dspace.app.mediafilter.PDFBoxThumbnail on 2023-12-08T06:22:15Z (GMT).Generated Thumbnailimage/jpeg2837https://repositorio.unesp.br/bitstreams/7631dd66-1e2f-4b4a-b078-35ed301458f8/downloada8b78ef68bc3f02b96bb121e90f8cb67MD55falseAnonymousREADORIGINALgomide_jpr_me_ift.pdfgomide_jpr_me_ift.pdfapplication/pdf2038373https://repositorio.unesp.br/bitstreams/062329d4-8bb8-4aa2-908e-3b6289cdcf5d/download88a6268a87125c9efbf9dae51a8b24ecMD53trueAnonymousREADLICENSElicense.txtWritten by org.dspace.content.LicenseUtilstext/plain; 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| dc.title.pt.fl_str_mv |
Aspects of supersymmetric Gauge theories |
| dc.title.alternative.pt.fl_str_mv |
Aspectos de teorias de Gauge supersimétricas |
| title |
Aspects of supersymmetric Gauge theories |
| spellingShingle |
Aspects of supersymmetric Gauge theories Gomide, João Pedro de Rezende [UNESP] Teoria de campos (Física) Supersimetria Teoria quântica de campos Field theory (Physics) Supersymmetry Quantum field theory |
| title_short |
Aspects of supersymmetric Gauge theories |
| title_full |
Aspects of supersymmetric Gauge theories |
| title_fullStr |
Aspects of supersymmetric Gauge theories |
| title_full_unstemmed |
Aspects of supersymmetric Gauge theories |
| title_sort |
Aspects of supersymmetric Gauge theories |
| author |
Gomide, João Pedro de Rezende [UNESP] |
| author_facet |
Gomide, João Pedro de Rezende [UNESP] |
| author_role |
author |
| dc.contributor.institution.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
| dc.contributor.committeeMember.none.fl_str_mv |
Vieira, Pedro Gil Martins Gaiotto, Davide |
| dc.contributor.author.fl_str_mv |
Gomide, João Pedro de Rezende [UNESP] |
| dc.contributor.advisor1.fl_str_mv |
Berkovits, Nathan Jacob [UNESP] |
| contributor_str_mv |
Berkovits, Nathan Jacob [UNESP] |
| dc.subject.por.fl_str_mv |
Teoria de campos (Física) Supersimetria Teoria quântica de campos |
| topic |
Teoria de campos (Física) Supersimetria Teoria quântica de campos Field theory (Physics) Supersymmetry Quantum field theory |
| dc.subject.eng.fl_str_mv |
Field theory (Physics) Supersymmetry Quantum field theory |
| description |
Esta dissertação tem como foco revisar alguns dos mais importantes avanços no estudo de Teorias de Campo Supersimétricas que ocorreram desde 1994. Mais especificamente, o foco será dado a teorias d = 4, N = 2 super Yang-Mills e seu comportamento a baixas energias. Iremos apresentar uma revisão da teoria de Seiberg-Witten para o caso de Yang-Mills supersimétrico puro com grupo de gauge SU(2), bem como uma generalização para teorias com grupo de gauge SU(N). Também iremos fornecer uma revisão do procedimento de contagem de instantons que proporciona a derivação do prepotencial de Seiberg-Witten. Ao longo do trabalho, iremos encontrar diversas conexões interessantes com a Matemática, sendo exemplos notórios as Teorias de Campos Topológicas e Localização. |
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2021 |
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2021-12-21 |
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2022-02-15T17:59:20Z |
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2022-02-15T17:59:20Z |
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Universidade Estadual Paulista (Unesp) |
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Universidade Estadual Paulista (Unesp) |
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