Two-loop superstring five-point amplitude and S -duality
Autor(a) principal: | |
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Data de Publicação: | 2016 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevD.93.045030 http://hdl.handle.net/11449/172652 |
Resumo: | The low-energy limit of the massless two-loop five-point amplitudes for both type IIA and type IIB superstrings is computed with the pure spinor formalism and its overall coefficient determined from first principles. For the type IIB theory, the five-graviton amplitude is found to be proportional to its tree-level counterpart at the corresponding order in α′. Their ratio ties in with expectations based on S-duality since it matches the same modular function E5/2 which relates the two-loop and tree-level four-graviton amplitudes. For R-symmetry violating states, the ratio between tree-level and two-loop amplitudes at the same α′-order carries an additional factor of -3/5. Its S-duality origin can be traced back to a modular form derived from E5/2. |
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Two-loop superstring five-point amplitude and S -dualityThe low-energy limit of the massless two-loop five-point amplitudes for both type IIA and type IIB superstrings is computed with the pure spinor formalism and its overall coefficient determined from first principles. For the type IIB theory, the five-graviton amplitude is found to be proportional to its tree-level counterpart at the corresponding order in α′. Their ratio ties in with expectations based on S-duality since it matches the same modular function E5/2 which relates the two-loop and tree-level four-graviton amplitudes. For R-symmetry violating states, the ratio between tree-level and two-loop amplitudes at the same α′-order carries an additional factor of -3/5. Its S-duality origin can be traced back to a modular form derived from E5/2.Perimeter Institute for Theoretical PhysicsDAMTP University of Cambridge, Wilberforce RoadMax-Planck-Institut für Gravitationsphysik Albert-Einstein-InstitutInstituto de Física Teórica UNESP-Universidade Estadual Paulista, Caixa Postal 70532-2Universidad Santiago de Cali, Calle 5 N 62-00Instituto de Física Teórica UNESP-Universidade Estadual Paulista, Caixa Postal 70532-2Perimeter Institute for Theoretical PhysicsUniversity of CambridgeAlbert-Einstein-InstitutUniversidade Estadual Paulista (Unesp)Universidad Santiago de CaliGomez, Humberto [UNESP]Mafra, Carlos R.Schlotterer, Oliver2018-12-11T17:01:37Z2018-12-11T17:01:37Z2016-02-24info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1103/PhysRevD.93.045030Physical Review D, v. 93, n. 4, 2016.2470-00292470-0010http://hdl.handle.net/11449/17265210.1103/PhysRevD.93.0450302-s2.0-84960145861Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review D1,8011,801info:eu-repo/semantics/openAccess2021-10-23T08:32:26Zoai:repositorio.unesp.br:11449/172652Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:43:07.376377Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Two-loop superstring five-point amplitude and S -duality |
title |
Two-loop superstring five-point amplitude and S -duality |
spellingShingle |
Two-loop superstring five-point amplitude and S -duality Gomez, Humberto [UNESP] |
title_short |
Two-loop superstring five-point amplitude and S -duality |
title_full |
Two-loop superstring five-point amplitude and S -duality |
title_fullStr |
Two-loop superstring five-point amplitude and S -duality |
title_full_unstemmed |
Two-loop superstring five-point amplitude and S -duality |
title_sort |
Two-loop superstring five-point amplitude and S -duality |
author |
Gomez, Humberto [UNESP] |
author_facet |
Gomez, Humberto [UNESP] Mafra, Carlos R. Schlotterer, Oliver |
author_role |
author |
author2 |
Mafra, Carlos R. Schlotterer, Oliver |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Perimeter Institute for Theoretical Physics University of Cambridge Albert-Einstein-Institut Universidade Estadual Paulista (Unesp) Universidad Santiago de Cali |
dc.contributor.author.fl_str_mv |
Gomez, Humberto [UNESP] Mafra, Carlos R. Schlotterer, Oliver |
description |
The low-energy limit of the massless two-loop five-point amplitudes for both type IIA and type IIB superstrings is computed with the pure spinor formalism and its overall coefficient determined from first principles. For the type IIB theory, the five-graviton amplitude is found to be proportional to its tree-level counterpart at the corresponding order in α′. Their ratio ties in with expectations based on S-duality since it matches the same modular function E5/2 which relates the two-loop and tree-level four-graviton amplitudes. For R-symmetry violating states, the ratio between tree-level and two-loop amplitudes at the same α′-order carries an additional factor of -3/5. Its S-duality origin can be traced back to a modular form derived from E5/2. |
publishDate |
2016 |
dc.date.none.fl_str_mv |
2016-02-24 2018-12-11T17:01:37Z 2018-12-11T17:01:37Z |
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/10.1103/PhysRevD.93.045030 Physical Review D, v. 93, n. 4, 2016. 2470-0029 2470-0010 http://hdl.handle.net/11449/172652 10.1103/PhysRevD.93.045030 2-s2.0-84960145861 |
url |
http://dx.doi.org/10.1103/PhysRevD.93.045030 http://hdl.handle.net/11449/172652 |
identifier_str_mv |
Physical Review D, v. 93, n. 4, 2016. 2470-0029 2470-0010 10.1103/PhysRevD.93.045030 2-s2.0-84960145861 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review D 1,801 1,801 |
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_ |
1808128969385443328 |