Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity

We show that 10D spinor helicity formalism can be understood as spinor moving frame approach to supersymmetric particles extended to the description of amplitudes. This allows us to develop the spinor helicity formalism for 11D supergravity and a new constrained superfield formalism for 10D SYM and...

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Detalles Bibliográficos
Autor: Bandos, Igor
Tipo de recurso: artículo
Fecha de publicación:2018
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/30792
Acceso en línea:http://hdl.handle.net/10810/30792
Access Level:acceso abierto
Palabra clave:field theories in higher dimensions
scattering amplitudes
superspaces
supergravity models
world-sheet supersymmetry
yang-mills theory
green-schwarz superstrings
dual string theory
harmonic superspace
light-cone
moving frame
one-loop
superparticle
formulation
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oai_identifier_str oai:addi.ehu.eus:10810/30792
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repository_id_str
spelling Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravityBandos, Igorfield theories in higher dimensionsscattering amplitudessuperspacessupergravity modelsworld-sheet supersymmetryyang-mills theorygreen-schwarz superstringsdual string theoryharmonic superspacelight-conemoving frameone-loopsuperparticleformulationWe show that 10D spinor helicity formalism can be understood as spinor moving frame approach to supersymmetric particles extended to the description of amplitudes. This allows us to develop the spinor helicity formalism for 11D supergravity and a new constrained superfield formalism for 10D SYM and 11D SUGRA amplitudes. We show how the constrained on-shell superfields, one-particle counterparts of the superamplitudes, can be obtained by quantization of massless superparticle mechanics.We make some stages towards the calculation of amplitudes of 10D SYM and 11D SUGRA in this framework. In particular we have found supersymmetric Ward identities for constrained amplitudes and an especially convenient gauge, fixed on the spinor frame variables corresponding to scattered particles, which promises to be an extremely useful tool for further development of our approach.We also discuss a candidate for generalization of the BCFW recurrent relations for the constrained tree superamplitudes, indicate and discuss a problem of dependence of the expressions obtained with it on a deformation vector, which is not fixed uniquely in higher dimensional D > 4 cases.This work has been supported in part by the Spanish Ministry of Economy, Industry and Competitiveness (MINECO) grant FPA 2015-66793-P, which is partially financed with FEDER/ERDF (European Regional Development Fund of the European Union), by the Basque Government Grant IT-979-16, and the Basque Country University program UFI 11/55.Springer201920192018info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10810/30792reponame:Addi. Archivo Digital para la Docencia y la Investigacióninstname:Universidad del País VascoInglésinfo:eu-repo/grantAgreement/MINECO/FPA 2015-66793-P/https://link.springer.com/article/10.1007%2FJHEP11%282018%29017info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/3.0/es/This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.Atribución 3.0 Españaoai:addi.ehu.eus:10810/307922026-06-18T09:23:17Z
dc.title.none.fl_str_mv Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
title Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
spellingShingle Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
Bandos, Igor
field theories in higher dimensions
scattering amplitudes
superspaces
supergravity models
world-sheet supersymmetry
yang-mills theory
green-schwarz superstrings
dual string theory
harmonic superspace
light-cone
moving frame
one-loop
superparticle
formulation
title_short Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
title_full Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
title_fullStr Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
title_full_unstemmed Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
title_sort Spinor frame formalism for amplitudes and constrained superamplitudes of 10D SYM and 11D supergravity
dc.creator.none.fl_str_mv Bandos, Igor
author Bandos, Igor
author_facet Bandos, Igor
author_role author
dc.subject.none.fl_str_mv field theories in higher dimensions
scattering amplitudes
superspaces
supergravity models
world-sheet supersymmetry
yang-mills theory
green-schwarz superstrings
dual string theory
harmonic superspace
light-cone
moving frame
one-loop
superparticle
formulation
topic field theories in higher dimensions
scattering amplitudes
superspaces
supergravity models
world-sheet supersymmetry
yang-mills theory
green-schwarz superstrings
dual string theory
harmonic superspace
light-cone
moving frame
one-loop
superparticle
formulation
description We show that 10D spinor helicity formalism can be understood as spinor moving frame approach to supersymmetric particles extended to the description of amplitudes. This allows us to develop the spinor helicity formalism for 11D supergravity and a new constrained superfield formalism for 10D SYM and 11D SUGRA amplitudes. We show how the constrained on-shell superfields, one-particle counterparts of the superamplitudes, can be obtained by quantization of massless superparticle mechanics.We make some stages towards the calculation of amplitudes of 10D SYM and 11D SUGRA in this framework. In particular we have found supersymmetric Ward identities for constrained amplitudes and an especially convenient gauge, fixed on the spinor frame variables corresponding to scattered particles, which promises to be an extremely useful tool for further development of our approach.We also discuss a candidate for generalization of the BCFW recurrent relations for the constrained tree superamplitudes, indicate and discuss a problem of dependence of the expressions obtained with it on a deformation vector, which is not fixed uniquely in higher dimensional D > 4 cases.
publishDate 2018
dc.date.none.fl_str_mv 2018
2019
2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10810/30792
url http://hdl.handle.net/10810/30792
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/MINECO/FPA 2015-66793-P/
https://link.springer.com/article/10.1007%2FJHEP11%282018%29017
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/3.0/es/
Atribución 3.0 España
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/3.0/es/
Atribución 3.0 España
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:Addi. Archivo Digital para la Docencia y la Investigación
instname:Universidad del País Vasco
instname_str Universidad del País Vasco
reponame_str Addi. Archivo Digital para la Docencia y la Investigación
collection Addi. Archivo Digital para la Docencia y la Investigación
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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