A classifying algebra for boundary conditions

We introduce a finite-dimensional algebra that controls the possible boundary conditions of a conformal field theory. For theories that are obtained by modding out a Z_2 symmetry (corresponding to a so-called D_odd-type, or half-integer spin simple current, modular invariant), this classifying algeb...

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Detalles Bibliográficos
Autores principales: Fuchs, J, Schweigert, C
Lenguaje:eng
Publicado: 1997
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/S0370-2693(97)01180-5
http://cds.cern.ch/record/332740
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author Fuchs, J
Schweigert, C
author_facet Fuchs, J
Schweigert, C
author_sort Fuchs, J
collection CERN
description We introduce a finite-dimensional algebra that controls the possible boundary conditions of a conformal field theory. For theories that are obtained by modding out a Z_2 symmetry (corresponding to a so-called D_odd-type, or half-integer spin simple current, modular invariant), this classifying algebra contains the fusion algebra of the untwisted sector as a subalgebra. Proper treatment of fields in the twisted sector, so-called fixed points, leads to structures that are intriguingly close to the ones implied by modular invariance for conformal field theories on closed orientable surfaces.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1997
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spelling cern-3327402019-09-30T06:29:59Zdoi:10.1016/S0370-2693(97)01180-5http://cds.cern.ch/record/332740engFuchs, JSchweigert, CA classifying algebra for boundary conditionsParticle Physics - TheoryWe introduce a finite-dimensional algebra that controls the possible boundary conditions of a conformal field theory. For theories that are obtained by modding out a Z_2 symmetry (corresponding to a so-called D_odd-type, or half-integer spin simple current, modular invariant), this classifying algebra contains the fusion algebra of the untwisted sector as a subalgebra. Proper treatment of fields in the twisted sector, so-called fixed points, leads to structures that are intriguingly close to the ones implied by modular invariance for conformal field theories on closed orientable surfaces.hep-th/9708141CERN-TH-97-215DESY-97-176oai:cds.cern.ch:3327401997-08-28
spellingShingle Particle Physics - Theory
Fuchs, J
Schweigert, C
A classifying algebra for boundary conditions
title A classifying algebra for boundary conditions
title_full A classifying algebra for boundary conditions
title_fullStr A classifying algebra for boundary conditions
title_full_unstemmed A classifying algebra for boundary conditions
title_short A classifying algebra for boundary conditions
title_sort classifying algebra for boundary conditions
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/S0370-2693(97)01180-5
http://cds.cern.ch/record/332740
work_keys_str_mv AT fuchsj aclassifyingalgebraforboundaryconditions
AT schweigertc aclassifyingalgebraforboundaryconditions
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