Current algebra of super WZNW models

We derive the current algebra of supersymmetric principal chiral models with a Wess-Zumino term. At the critical point one obtains two commuting super Kac-Moody algebra as expected, but in general there are intertwining fields connecting both right and left sectors, analogously to the bosonic case....

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Detalles Bibliográficos
Autores principales: Abdalla, Elcio, Abdalla, Maria Christina B, Branco, O H G, Saltini, L E
Lenguaje:eng
Publicado: 1994
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1088/0305-4470/27/13/043
http://cds.cern.ch/record/278227
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author Abdalla, Elcio
Abdalla, Maria Christina B
Branco, O H G
Saltini, L E
author_facet Abdalla, Elcio
Abdalla, Maria Christina B
Branco, O H G
Saltini, L E
author_sort Abdalla, Elcio
collection CERN
description We derive the current algebra of supersymmetric principal chiral models with a Wess-Zumino term. At the critical point one obtains two commuting super Kac-Moody algebra as expected, but in general there are intertwining fields connecting both right and left sectors, analogously to the bosonic case. Moreover, in the present supersymmetric extension we have a quadratic algebra, rather than an affine Lie algebra, due to the mixing between bosonic and fermionic fields since the purely fermionic sector displays a Lie algebra as well.
id cern-278227
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1994
record_format invenio
spelling cern-2782272019-09-30T06:29:59Zdoi:10.1088/0305-4470/27/13/043http://cds.cern.ch/record/278227engAbdalla, ElcioAbdalla, Maria Christina BBranco, O H GSaltini, L ECurrent algebra of super WZNW modelsParticle Physics - TheoryWe derive the current algebra of supersymmetric principal chiral models with a Wess-Zumino term. At the critical point one obtains two commuting super Kac-Moody algebra as expected, but in general there are intertwining fields connecting both right and left sectors, analogously to the bosonic case. Moreover, in the present supersymmetric extension we have a quadratic algebra, rather than an affine Lie algebra, due to the mixing between bosonic and fermionic fields since the purely fermionic sector displays a Lie algebra as well.hep-th/9301108oai:cds.cern.ch:2782271994
spellingShingle Particle Physics - Theory
Abdalla, Elcio
Abdalla, Maria Christina B
Branco, O H G
Saltini, L E
Current algebra of super WZNW models
title Current algebra of super WZNW models
title_full Current algebra of super WZNW models
title_fullStr Current algebra of super WZNW models
title_full_unstemmed Current algebra of super WZNW models
title_short Current algebra of super WZNW models
title_sort current algebra of super wznw models
topic Particle Physics - Theory
url https://dx.doi.org/10.1088/0305-4470/27/13/043
http://cds.cern.ch/record/278227
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AT abdallamariachristinab currentalgebraofsuperwznwmodels
AT brancoohg currentalgebraofsuperwznwmodels
AT saltinile currentalgebraofsuperwznwmodels

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