Non-anticommutative solitons

Certain supersymmetric sigma models in 2+1 dimensions feature multi-soliton solutions, with and without scattering. We subject these systems to a non-anticommutative deformation by replacing the Grassmann algebra of the odd superspace coordinates with a Clifford algebra. Static CP^1 and scattering U...

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Detalles Bibliográficos
Autores principales: Ketov, Sergei V., Lechtenfeld, Olaf
Lenguaje:eng
Publicado: 2008
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/j.physletb.2008.04.045
http://cds.cern.ch/record/1095187
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author Ketov, Sergei V.
Lechtenfeld, Olaf
author_facet Ketov, Sergei V.
Lechtenfeld, Olaf
author_sort Ketov, Sergei V.
collection CERN
description Certain supersymmetric sigma models in 2+1 dimensions feature multi-soliton solutions, with and without scattering. We subject these systems to a non-anticommutative deformation by replacing the Grassmann algebra of the odd superspace coordinates with a Clifford algebra. Static CP^1 and scattering U(2) solitons are constructed and carry an additional spin-1/2 degree of freedom due to the deformation. Abelian BPS solutions exist as well but have infinite action, in contrast to the Moyal case.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2008
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spelling cern-10951872023-03-15T19:11:16Zdoi:10.1016/j.physletb.2008.04.045http://cds.cern.ch/record/1095187engKetov, Sergei V.Lechtenfeld, OlafNon-anticommutative solitonsParticle Physics - TheoryCertain supersymmetric sigma models in 2+1 dimensions feature multi-soliton solutions, with and without scattering. We subject these systems to a non-anticommutative deformation by replacing the Grassmann algebra of the odd superspace coordinates with a Clifford algebra. Static CP^1 and scattering U(2) solitons are constructed and carry an additional spin-1/2 degree of freedom due to the deformation. Abelian BPS solutions exist as well but have infinite action, in contrast to the Moyal case.Certain supersymmetric sigma models in 2+1 dimensions feature multi-soliton solutions, with and without scattering. We subject these systems to a non-anticommutative deformation by replacing the Grassmann algebra of the odd superspace coordinates with a Clifford algebra. Static CP1 and scattering U(2) solitons are constructed and carry an additional spin-1/2 degree of freedom due to the deformation. Abelian BPS solutions exist as well but have infinite action, in contrast to the Moyal case.Certain supersymmetric sigma models in 2+1 dimensions feature multi-soliton solutions, with and without scattering. We subject these systems to a non-anticommutative deformation by replacing the Grassmann algebra of the odd superspace coordinates with a Clifford algebra. Static CP^1 and scattering U(2) solitons are constructed and carry an additional spin-1/2 degree of freedom due to the deformation. Abelian BPS solutions exist as well but have infinite action, in contrast to the Moyal case.arXiv:0803.2867CERN-PH-TH-2008-053ITP-UH-05-08CERN-PH-TH-2008-053oai:cds.cern.ch:10951872008-03-20
spellingShingle Particle Physics - Theory
Ketov, Sergei V.
Lechtenfeld, Olaf
Non-anticommutative solitons
title Non-anticommutative solitons
title_full Non-anticommutative solitons
title_fullStr Non-anticommutative solitons
title_full_unstemmed Non-anticommutative solitons
title_short Non-anticommutative solitons
title_sort non-anticommutative solitons
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/j.physletb.2008.04.045
http://cds.cern.ch/record/1095187
work_keys_str_mv AT ketovsergeiv nonanticommutativesolitons
AT lechtenfeldolaf nonanticommutativesolitons

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