The algebra of non-local charges in non-linear sigma models

We obtain the exact Dirac algebra obeyed by the conserved non-local charges in bosonic non-linear sigma models. Part of the computation is specialized for a symmetry group $O(N)$. As it turns out the algebra corresponds to a cubic deformation of the Kac-Moody algebra. The non-linear terms are comput...

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Detalles Bibliográficos
Autores principales: Abdalla, E., Abdalla, M.C.B., Brunelli, J.C., Zadra, A.
Lenguaje:eng
Publicado: 1994
Materias:
General Theoretical Physics
Acceso en línea:https://dx.doi.org/10.1007/BF02112321
http://cds.cern.ch/record/257197
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author Abdalla, E.
Abdalla, M.C.B.
Brunelli, J.C.
Zadra, A.
author_facet Abdalla, E.
Abdalla, M.C.B.
Brunelli, J.C.
Zadra, A.
author_sort Abdalla, E.
collection CERN
description We obtain the exact Dirac algebra obeyed by the conserved non-local charges in bosonic non-linear sigma models. Part of the computation is specialized for a symmetry group $O(N)$. As it turns out the algebra corresponds to a cubic deformation of the Kac-Moody algebra. The non-linear terms are computed in closed form. In each Dirac bracket we only find highest order terms (as explained in the paper), defining a saturated algebra. We generalize the results for the presence of a Wess-Zumino term. The algebra is very similar to the previous one, containing now a calculable correction of order one unit lower.
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institution Organización Europea para la Investigación Nuclear
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publishDate 1994
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spelling cern-2571972023-03-14T17:11:06Zdoi:10.1007/BF02112321http://cds.cern.ch/record/257197engAbdalla, E.Abdalla, M.C.B.Brunelli, J.C.Zadra, A.The algebra of non-local charges in non-linear sigma modelsGeneral Theoretical PhysicsWe obtain the exact Dirac algebra obeyed by the conserved non-local charges in bosonic non-linear sigma models. Part of the computation is specialized for a symmetry group $O(N)$. As it turns out the algebra corresponds to a cubic deformation of the Kac-Moody algebra. The non-linear terms are computed in closed form. In each Dirac bracket we only find highest order terms (as explained in the paper), defining a saturated algebra. We generalize the results for the presence of a Wess-Zumino term. The algebra is very similar to the previous one, containing now a calculable correction of order one unit lower.We obtain the exact Dirac algebra obeyed by the conserved non-local charges in bosonic non-linear sigma models. Part of the computation is specialized for a symmetry group $O(N)$. As it turns out the algebra corresponds to a cubic deformation of the Kac-Moody algebra. The non-linear terms are computed in closed form. In each Dirac bracket we only find highest order terms (as explained in the paper), defining a saturated algebra. We generalize the results for the presence of a Wess-Zumino term. The algebra is very similar to the previous one, containing now a calculable correction of order one unit lower.hep-th/9307071IFUSP-P-1061IC-93-220CERN-TH-7061-93CERN-TH-7061-93IAEA-ICTP-93-220IC-93-220oai:cds.cern.ch:2571971994
spellingShingle General Theoretical Physics
Abdalla, E.
Abdalla, M.C.B.
Brunelli, J.C.
Zadra, A.
The algebra of non-local charges in non-linear sigma models
title The algebra of non-local charges in non-linear sigma models
title_full The algebra of non-local charges in non-linear sigma models
title_fullStr The algebra of non-local charges in non-linear sigma models
title_full_unstemmed The algebra of non-local charges in non-linear sigma models
title_short The algebra of non-local charges in non-linear sigma models
title_sort algebra of non-local charges in non-linear sigma models
topic General Theoretical Physics
url https://dx.doi.org/10.1007/BF02112321
http://cds.cern.ch/record/257197
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