A problem with non-Abelian duality?

We investigate duality transformations in a class of backgrounds with non-Abelian isometries, i.e. Bianchi-type (homogeneous) cosmologies in arbitrary dimensions. Simple duality transformations for the metric and the antisymmetric tensor field, generalizing those known from the Abelian isometry (Bia...

Descripción completa

Detalles Bibliográficos
Autores principales: Gasperini, M., Ricci, R., Veneziano, G.
Lenguaje:eng
Publicado: 1993
Materias:
General Theoretical Physics
Acceso en línea:https://dx.doi.org/10.1016/0370-2693(93)91748-C
http://cds.cern.ch/record/253233
_version_ 1780885657164447744
author Gasperini, M.
Ricci, R.
Veneziano, G.
author_facet Gasperini, M.
Ricci, R.
Veneziano, G.
author_sort Gasperini, M.
collection CERN
description We investigate duality transformations in a class of backgrounds with non-Abelian isometries, i.e. Bianchi-type (homogeneous) cosmologies in arbitrary dimensions. Simple duality transformations for the metric and the antisymmetric tensor field, generalizing those known from the Abelian isometry (Bianchi I) case, are obtained using either a Lagrangian or a Hamiltonian approach. Applying these prescriptions to a specific conformally invariant $\s$-model, we show that no dilaton transformation leads to a new conformal background. Some possible ways out of the problem are suggested.
id cern-253233
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1993
record_format invenio
spelling cern-2532332023-03-14T20:46:08Zdoi:10.1016/0370-2693(93)91748-Chttp://cds.cern.ch/record/253233engGasperini, M.Ricci, R.Veneziano, G.A problem with non-Abelian duality?General Theoretical PhysicsWe investigate duality transformations in a class of backgrounds with non-Abelian isometries, i.e. Bianchi-type (homogeneous) cosmologies in arbitrary dimensions. Simple duality transformations for the metric and the antisymmetric tensor field, generalizing those known from the Abelian isometry (Bianchi I) case, are obtained using either a Lagrangian or a Hamiltonian approach. Applying these prescriptions to a specific conformally invariant $\s$-model, we show that no dilaton transformation leads to a new conformal background. Some possible ways out of the problem are suggested.We investigate duality transformations in a class of backgrounds with non-Abelian isometries, i.e. Bianchi-type (homogeneous) cosmologies in arbitrary dimensions. Simple duality transformations for the metric and the antisymmetric tensor field, generalizing those known from the Abelian isometry (Bianchi I) case, are obtained using either a Lagrangian or a Hamiltonian approach. Applying these prescriptions to a specific conformally invariant σ-model, we show that no dilaton transformation leads to a new conformal background. Some possible ways out of the problem are suggested.hep-th/9308112CERN-TH-6960-93ROM2F-93-24CERN-TH-6960-93HEP-TH-9308112ROM-2F-93-24oai:cds.cern.ch:2532331993
spellingShingle General Theoretical Physics
Gasperini, M.
Ricci, R.
Veneziano, G.
A problem with non-Abelian duality?
title A problem with non-Abelian duality?
title_full A problem with non-Abelian duality?
title_fullStr A problem with non-Abelian duality?
title_full_unstemmed A problem with non-Abelian duality?
title_short A problem with non-Abelian duality?
title_sort problem with non-abelian duality?
topic General Theoretical Physics
url https://dx.doi.org/10.1016/0370-2693(93)91748-C
http://cds.cern.ch/record/253233
work_keys_str_mv AT gasperinim aproblemwithnonabelianduality
AT riccir aproblemwithnonabelianduality
AT venezianog aproblemwithnonabelianduality
AT gasperinim problemwithnonabelianduality
AT riccir problemwithnonabelianduality
AT venezianog problemwithnonabelianduality

Ejemplares similares