A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory

Detalhes bibliográficos
Ano de defesa: 2013
Autor(a) principal: Ursulino, Tiago Pinheiro [UNESP]
Orientador(a): Não Informado pela instituição
Banca de defesa: Não Informado pela instituição
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:
Teoria de Yang-Mills
Supergravidade
Teoria das supercordas
Link de acesso: http://hdl.handle.net/11449/108882
Resumo: In this work we review the simple formulas found for MHV amplitudes of gluons and gravitons inside the contexts of super-Yang-Mills with supersymmetry N = 4 and supergravity with supersymmetry N = 8. We then review the prescription proposed by Berkovits and Maldacena [5] which simpli?es the calculation of those amplitudes for gluons inside the context of open superstrings, and which reproduces the correct results for 4 and 5 gluons, besides reducing to the sYM results in the 'alfa linha' = 0 limit, as veri?ed in [5] and [22]. Next, we extend the Berkovits-Maldacena prescription to the closed superstring, using it ?rst to calculate the MHV amplitude for 4 gravitons and verifying the result with the ones found in the literature by usual methods (result already obtained in [8]). As an original contribution to the subject, we will prove that, in the 'alfa linha' = 0 limit, the prescription gives the result of supergravity found by Hodges [17]
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spelling A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theoryTeoria de Yang-MillsSupergravidadeTeoria das supercordasIn this work we review the simple formulas found for MHV amplitudes of gluons and gravitons inside the contexts of super-Yang-Mills with supersymmetry N = 4 and supergravity with supersymmetry N = 8. We then review the prescription proposed by Berkovits and Maldacena [5] which simpli?es the calculation of those amplitudes for gluons inside the context of open superstrings, and which reproduces the correct results for 4 and 5 gluons, besides reducing to the sYM results in the 'alfa linha' = 0 limit, as veri?ed in [5] and [22]. Next, we extend the Berkovits-Maldacena prescription to the closed superstring, using it ?rst to calculate the MHV amplitude for 4 gravitons and verifying the result with the ones found in the literature by usual methods (result already obtained in [8]). As an original contribution to the subject, we will prove that, in the 'alfa linha' = 0 limit, the prescription gives the result of supergravity found by Hodges [17]Neste trabalho relembramos as fórmulas simples encontradas para as amplitudes MHV de gluons e gravitons nos contextos de super-Yang-Mills com supersimetria N = 4 e de supergravidade com supersimetria N = 8. A seguir, relembramos a prescrição proposta por Berkovits e Maldacena [5] que facilita o cálculo dessas amplitudes para gluons no contexto de supercordas abertas, e que reproduz os resultados corretos para 4 e 5 gluons além de se reduzir aos resultados de sYM no limite 'alfa linha' = 0, conforme veri?cado em [5] e [22]. Em seguida, estenderemos a prescrição de Berkovits-Maldacena para a supercorda fechada, usando-a primeiramente para calcular a amplitude MHV de 4 gravitons e conferindo o resultado com os encontrados na literatura por métodos usuais (resultado já obtido em [8]). Como contribuição original ao tema, demonstraremos que, no limite 'alfa linha' = 0, a prescrição reproduz o resultado de supergravidade encontrado por Hodges [17]Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)FAPESP: 11/02699-6Universidade Estadual Paulista (Unesp)Berkovits, Nathan Jacob [UNESP]Universidade Estadual Paulista (Unesp)Ursulino, Tiago Pinheiro [UNESP]2014-08-27T14:36:43Z2014-08-27T14:36:43Z2013-08-23info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/masterThesisiv, 40 f. : il.application/pdfURSULINO, Tiago Pinheiro. A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory. 2013. iv, 40 f. Dissertação (mestrado) - Universidade Estadual Paulista Júlio de Mesquita Filho, Instituto de Física Teórica, 2013.http://hdl.handle.net/11449/108882000775539000775539.pdf33015015001P77565192274317470Alephreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPenginfo:eu-repo/semantics/openAccess2024-11-22T14:24:29Zoai:repositorio.unesp.br:11449/108882Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestrepositoriounesp@unesp.bropendoar:29462024-11-22T14:24:29Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory
title A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory
spellingShingle A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory
Ursulino, Tiago Pinheiro [UNESP]
Teoria de Yang-Mills
Supergravidade
Teoria das supercordas
title_short A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory
title_full A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory
title_fullStr A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory
title_full_unstemmed A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory
title_sort A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory
author Ursulino, Tiago Pinheiro [UNESP]
author_facet Ursulino, Tiago Pinheiro [UNESP]
author_role author
dc.contributor.none.fl_str_mv Berkovits, Nathan Jacob [UNESP]
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Ursulino, Tiago Pinheiro [UNESP]
dc.subject.por.fl_str_mv Teoria de Yang-Mills
Supergravidade
Teoria das supercordas
topic Teoria de Yang-Mills
Supergravidade
Teoria das supercordas
description In this work we review the simple formulas found for MHV amplitudes of gluons and gravitons inside the contexts of super-Yang-Mills with supersymmetry N = 4 and supergravity with supersymmetry N = 8. We then review the prescription proposed by Berkovits and Maldacena [5] which simpli?es the calculation of those amplitudes for gluons inside the context of open superstrings, and which reproduces the correct results for 4 and 5 gluons, besides reducing to the sYM results in the 'alfa linha' = 0 limit, as veri?ed in [5] and [22]. Next, we extend the Berkovits-Maldacena prescription to the closed superstring, using it ?rst to calculate the MHV amplitude for 4 gravitons and verifying the result with the ones found in the literature by usual methods (result already obtained in [8]). As an original contribution to the subject, we will prove that, in the 'alfa linha' = 0 limit, the prescription gives the result of supergravity found by Hodges [17]
publishDate 2013
dc.date.none.fl_str_mv 2013-08-23
2014-08-27T14:36:43Z
2014-08-27T14:36:43Z
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 URSULINO, Tiago Pinheiro. A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory. 2013. iv, 40 f. Dissertação (mestrado) - Universidade Estadual Paulista Júlio de Mesquita Filho, Instituto de Física Teórica, 2013.
http://hdl.handle.net/11449/108882
000775539
000775539.pdf
33015015001P7
7565192274317470
identifier_str_mv URSULINO, Tiago Pinheiro. A simpler prescription to calculate MHV amplitudes for gravitons at tree level in superstring theory. 2013. iv, 40 f. Dissertação (mestrado) - Universidade Estadual Paulista Júlio de Mesquita Filho, Instituto de Física Teórica, 2013.
000775539
000775539.pdf
33015015001P7
7565192274317470
url http://hdl.handle.net/11449/108882
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 iv, 40 f. : il.
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 Aleph
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 repositoriounesp@unesp.br
_version_ 1854954908596305920

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