Quantum mechanics in non(anti)commutative superspace

Autores
Aldrovandi, León G.; Schaposnik, Fidel Arturo
Año de publicación
2006
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider non(anti)commutative (NAC) deformations of d ≤ 1 ≤ 2 superspace. We find that, in the chiral base, the deformation preserves only a half of the original (linearly realized) supercharge algebra, as it usually happens in NAC field theories. We obtain in terms of a real supermultiplet a closed expression for a deformed Quantum Mechanics Lagrangian in which the original superpotential is smeared, similarly to what happens for the two dimensional deformed sigma model. Quite unexpectedly, we find that a second conserved charge can be constructed which leads to a nonlinear field realization of the supersymmetry algebra, so that finally the deformed theory has as many conserved supercharges as the undeformed one. The quantum behavior of these supercharges is analyzed.
Facultad de Ciencias Exactas
Materia
Física
Field Theories in Lower Dimensions
Non-Commutative Geometry
Superspaces
Supersymmetry Breaking
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/82989
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/82989
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Quantum mechanics in non(anti)commutative superspaceAldrovandi, León G.Schaposnik, Fidel ArturoFísicaField Theories in Lower DimensionsNon-Commutative GeometrySuperspacesSupersymmetry BreakingWe consider non(anti)commutative (NAC) deformations of d ≤ 1 ≤ 2 superspace. We find that, in the chiral base, the deformation preserves only a half of the original (linearly realized) supercharge algebra, as it usually happens in NAC field theories. We obtain in terms of a real supermultiplet a closed expression for a deformed Quantum Mechanics Lagrangian in which the original superpotential is smeared, similarly to what happens for the two dimensional deformed sigma model. Quite unexpectedly, we find that a second conserved charge can be constructed which leads to a nonlinear field realization of the supersymmetry algebra, so that finally the deformed theory has as many conserved supercharges as the undeformed one. The quantum behavior of these supercharges is analyzed.Facultad de Ciencias Exactas2006info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/82989enginfo:eu-repo/semantics/altIdentifier/issn/1029-8479info:eu-repo/semantics/altIdentifier/doi/10.1088/1126-6708/2006/08/081info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:07:38Zoai:sedici.unlp.edu.ar:10915/82989Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:07:38.671SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Quantum mechanics in non(anti)commutative superspace
title Quantum mechanics in non(anti)commutative superspace
spellingShingle Quantum mechanics in non(anti)commutative superspace
Aldrovandi, León G.
Física
Field Theories in Lower Dimensions
Non-Commutative Geometry
Superspaces
Supersymmetry Breaking
title_short Quantum mechanics in non(anti)commutative superspace
title_full Quantum mechanics in non(anti)commutative superspace
title_fullStr Quantum mechanics in non(anti)commutative superspace
title_full_unstemmed Quantum mechanics in non(anti)commutative superspace
title_sort Quantum mechanics in non(anti)commutative superspace
dc.creator.none.fl_str_mv Aldrovandi, León G.
Schaposnik, Fidel Arturo
author Aldrovandi, León G.
author_facet Aldrovandi, León G.
Schaposnik, Fidel Arturo
author_role author
author2 Schaposnik, Fidel Arturo
author2_role author
dc.subject.none.fl_str_mv Física
Field Theories in Lower Dimensions
Non-Commutative Geometry
Superspaces
Supersymmetry Breaking
topic Física
Field Theories in Lower Dimensions
Non-Commutative Geometry
Superspaces
Supersymmetry Breaking
dc.description.none.fl_txt_mv We consider non(anti)commutative (NAC) deformations of d ≤ 1 ≤ 2 superspace. We find that, in the chiral base, the deformation preserves only a half of the original (linearly realized) supercharge algebra, as it usually happens in NAC field theories. We obtain in terms of a real supermultiplet a closed expression for a deformed Quantum Mechanics Lagrangian in which the original superpotential is smeared, similarly to what happens for the two dimensional deformed sigma model. Quite unexpectedly, we find that a second conserved charge can be constructed which leads to a nonlinear field realization of the supersymmetry algebra, so that finally the deformed theory has as many conserved supercharges as the undeformed one. The quantum behavior of these supercharges is analyzed.
Facultad de Ciencias Exactas
description We consider non(anti)commutative (NAC) deformations of d ≤ 1 ≤ 2 superspace. We find that, in the chiral base, the deformation preserves only a half of the original (linearly realized) supercharge algebra, as it usually happens in NAC field theories. We obtain in terms of a real supermultiplet a closed expression for a deformed Quantum Mechanics Lagrangian in which the original superpotential is smeared, similarly to what happens for the two dimensional deformed sigma model. Quite unexpectedly, we find that a second conserved charge can be constructed which leads to a nonlinear field realization of the supersymmetry algebra, so that finally the deformed theory has as many conserved supercharges as the undeformed one. The quantum behavior of these supercharges is analyzed.
publishDate 2006
dc.date.none.fl_str_mv 2006
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://sedici.unlp.edu.ar/handle/10915/82989
url http://sedici.unlp.edu.ar/handle/10915/82989
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1029-8479
info:eu-repo/semantics/altIdentifier/doi/10.1088/1126-6708/2006/08/081
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.22299

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