Quantum mechanics in non(anti)commutative superspace

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 clo...

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Detalles Bibliográficos
Autores principales: Aldrovandi, León G., Schaposnik, Fidel Arturo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2006
Materias:
Física
Field Theories in Lower Dimensions
Non-Commutative Geometry
Superspaces
Supersymmetry Breaking
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/82989
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-82989
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Field Theories in Lower Dimensions
Non-Commutative Geometry
Superspaces
Supersymmetry Breaking
spellingShingle Física
Field Theories in Lower Dimensions
Non-Commutative Geometry
Superspaces
Supersymmetry Breaking
Aldrovandi, León G.
Schaposnik, Fidel Arturo
Quantum mechanics in non(anti)commutative superspace
topic_facet Física
Field Theories in Lower Dimensions
Non-Commutative Geometry
Superspaces
Supersymmetry Breaking
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.
format Articulo
Articulo
author Aldrovandi, León G.
Schaposnik, Fidel Arturo
author_facet Aldrovandi, León G.
Schaposnik, Fidel Arturo
author_sort Aldrovandi, León G.
title Quantum mechanics in non(anti)commutative superspace
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
publishDate 2006
url http://sedici.unlp.edu.ar/handle/10915/82989
work_keys_str_mv AT aldrovandileong quantummechanicsinnonanticommutativesuperspace
AT schaposnikfidelarturo quantummechanicsinnonanticommutativesuperspace
bdutipo_str Repositorios
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