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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/82989
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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:UNLP2025-09-29T11:15:45Zoai: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:13292025-09-29 11:15:46.052SEDICI (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 |
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SEDICI (UNLP) - Universidad Nacional de La Plata |
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