Origin of the pure spinor and Green-Schwarz formalisms
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1007/JHEP07(2015)091 http://hdl.handle.net/11449/171963 |
Resumo: | The pure spinor formalism for the superstring was recently obtained by gauge-fixing a purely bosonic classical action involving a twistor-like constraint ∂x<sup>m</sup>(γ<inf>m</inf>λ)<inf>α</inf> = 0 where λ<sup>α</sup> is a d=10 pure spinor. This twistor-like constraint replaces the usual Virasoro constraint ∂x<sup>m</sup>∂x<inf>m</inf> = 0, and the Green-Schwarz fermionic spacetime spinor variables θ<sup>α</sup> arise as Faddeev-Popov ghosts for this constraint. In this paper, the purely bosonic classical action is simplified by replacing the classical d=10 pure spinor λ<sup>α</sup> with a d=10 projective pure spinor. The pure spinor and Green-Schwarz formalisms for the superparticle and superstring are then obtained as different gauge-fixings of this purely bosonic classical action, and the Green-Schwarz kappa symmetry is directly related to the pure spinor BRST symmetry. Since a d=10 projective pure spinor parameterizes (Formula presented.), this action can be interpreted as a standard ĉ = 5 topological action where one integrates over the (Formula presented.) choice of complex structure. Finally, a purely bosonic action for the d=11 supermembrane is proposed which reduces upon double-dimensional reduction to the purely bosonic action for the d=10 Type IIA superstring. |
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Origin of the pure spinor and Green-Schwarz formalismsBRST SymmetrySuperstrings and Heterotic StringsThe pure spinor formalism for the superstring was recently obtained by gauge-fixing a purely bosonic classical action involving a twistor-like constraint ∂x<sup>m</sup>(γ<inf>m</inf>λ)<inf>α</inf> = 0 where λ<sup>α</sup> is a d=10 pure spinor. This twistor-like constraint replaces the usual Virasoro constraint ∂x<sup>m</sup>∂x<inf>m</inf> = 0, and the Green-Schwarz fermionic spacetime spinor variables θ<sup>α</sup> arise as Faddeev-Popov ghosts for this constraint. In this paper, the purely bosonic classical action is simplified by replacing the classical d=10 pure spinor λ<sup>α</sup> with a d=10 projective pure spinor. The pure spinor and Green-Schwarz formalisms for the superparticle and superstring are then obtained as different gauge-fixings of this purely bosonic classical action, and the Green-Schwarz kappa symmetry is directly related to the pure spinor BRST symmetry. Since a d=10 projective pure spinor parameterizes (Formula presented.), this action can be interpreted as a standard ĉ = 5 topological action where one integrates over the (Formula presented.) choice of complex structure. Finally, a purely bosonic action for the d=11 supermembrane is proposed which reduces upon double-dimensional reduction to the purely bosonic action for the d=10 Type IIA superstring.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)ICTP South American Institute for Fundamental Research, Instituto de Física Teórica, UNESP — Universidade Estadual Paulista, Rua Dr. Bento T. Ferraz 271ICTP South American Institute for Fundamental Research, Instituto de Física Teórica, UNESP — Universidade Estadual Paulista, Rua Dr. Bento T. Ferraz 271CNPq: 300256/94-9Universidade Estadual Paulista (Unesp)Berkovits, Nathan [UNESP]2018-12-11T16:57:56Z2018-12-11T16:57:56Z2015-07-28info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1007/JHEP07(2015)091Journal of High Energy Physics, v. 2015, n. 7, 2015.1029-84791126-6708http://hdl.handle.net/11449/17196310.1007/JHEP07(2015)0912-s2.0-849380540322-s2.0-84938054032.pdfScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of High Energy Physics1,2271,227info:eu-repo/semantics/openAccess2024-01-15T06:23:15Zoai:repositorio.unesp.br:11449/171963Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:04:04.407277Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Origin of the pure spinor and Green-Schwarz formalisms |
title |
Origin of the pure spinor and Green-Schwarz formalisms |
spellingShingle |
Origin of the pure spinor and Green-Schwarz formalisms Berkovits, Nathan [UNESP] BRST Symmetry Superstrings and Heterotic Strings |
title_short |
Origin of the pure spinor and Green-Schwarz formalisms |
title_full |
Origin of the pure spinor and Green-Schwarz formalisms |
title_fullStr |
Origin of the pure spinor and Green-Schwarz formalisms |
title_full_unstemmed |
Origin of the pure spinor and Green-Schwarz formalisms |
title_sort |
Origin of the pure spinor and Green-Schwarz formalisms |
author |
Berkovits, Nathan [UNESP] |
author_facet |
Berkovits, Nathan [UNESP] |
author_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Berkovits, Nathan [UNESP] |
dc.subject.por.fl_str_mv |
BRST Symmetry Superstrings and Heterotic Strings |
topic |
BRST Symmetry Superstrings and Heterotic Strings |
description |
The pure spinor formalism for the superstring was recently obtained by gauge-fixing a purely bosonic classical action involving a twistor-like constraint ∂x<sup>m</sup>(γ<inf>m</inf>λ)<inf>α</inf> = 0 where λ<sup>α</sup> is a d=10 pure spinor. This twistor-like constraint replaces the usual Virasoro constraint ∂x<sup>m</sup>∂x<inf>m</inf> = 0, and the Green-Schwarz fermionic spacetime spinor variables θ<sup>α</sup> arise as Faddeev-Popov ghosts for this constraint. In this paper, the purely bosonic classical action is simplified by replacing the classical d=10 pure spinor λ<sup>α</sup> with a d=10 projective pure spinor. The pure spinor and Green-Schwarz formalisms for the superparticle and superstring are then obtained as different gauge-fixings of this purely bosonic classical action, and the Green-Schwarz kappa symmetry is directly related to the pure spinor BRST symmetry. Since a d=10 projective pure spinor parameterizes (Formula presented.), this action can be interpreted as a standard ĉ = 5 topological action where one integrates over the (Formula presented.) choice of complex structure. Finally, a purely bosonic action for the d=11 supermembrane is proposed which reduces upon double-dimensional reduction to the purely bosonic action for the d=10 Type IIA superstring. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-07-28 2018-12-11T16:57:56Z 2018-12-11T16:57:56Z |
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/10.1007/JHEP07(2015)091 Journal of High Energy Physics, v. 2015, n. 7, 2015. 1029-8479 1126-6708 http://hdl.handle.net/11449/171963 10.1007/JHEP07(2015)091 2-s2.0-84938054032 2-s2.0-84938054032.pdf |
url |
http://dx.doi.org/10.1007/JHEP07(2015)091 http://hdl.handle.net/11449/171963 |
identifier_str_mv |
Journal of High Energy Physics, v. 2015, n. 7, 2015. 1029-8479 1126-6708 10.1007/JHEP07(2015)091 2-s2.0-84938054032 2-s2.0-84938054032.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of High Energy Physics 1,227 1,227 |
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.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_ |
1808129486668955648 |