Conformal Field Theories on K3 and Three-Dimensional Gauge Theories

According to a recent conjecture, the moduli space of the heterotic conformal field theory on a $G\subset$ ADE singularity of an ALE space is equivalent to the moduli space of a pure $\cx N=4$ supersymmetric three-dimensional gauge theory with gauge group G. We establish this relation using geometri...

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Detalles Bibliográficos
Autor principal: Mayr, P.
Lenguaje:eng
Publicado: 1999
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2000/08/042
http://cds.cern.ch/record/406021
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author Mayr, P.
author_facet Mayr, P.
author_sort Mayr, P.
collection CERN
description According to a recent conjecture, the moduli space of the heterotic conformal field theory on a $G\subset$ ADE singularity of an ALE space is equivalent to the moduli space of a pure $\cx N=4$ supersymmetric three-dimensional gauge theory with gauge group G. We establish this relation using geometric engineering of heterotic strings and generalize it to theories with non-trivial matter content.
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publishDate 1999
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spelling cern-4060212023-03-14T20:36:05Zdoi:10.1088/1126-6708/2000/08/042http://cds.cern.ch/record/406021engMayr, P.Conformal Field Theories on K3 and Three-Dimensional Gauge TheoriesParticle Physics - TheoryAccording to a recent conjecture, the moduli space of the heterotic conformal field theory on a $G\subset$ ADE singularity of an ALE space is equivalent to the moduli space of a pure $\cx N=4$ supersymmetric three-dimensional gauge theory with gauge group G. We establish this relation using geometric engineering of heterotic strings and generalize it to theories with non-trivial matter content.According to a recent conjecture, the moduli space of the heterotic conformal field theory on a $G\subset$ ADE singularity of an ALE space is equivalent to the moduli space of a pure $\cx N=4$ supersymmetric three-dimensional gauge theory with gauge group G. We establish this relation using geometric engineering of heterotic strings and generalize it to theories with non-trivial matter content. A similar equivalence is found between the moduli of heterotic CFT on isolated Calabi--Yau 3-fold singularities and two-dimensional Kazama-Suzuki coset theories.hep-th/9910268CERN-TH-99-330CERN-TH-99-330oai:cds.cern.ch:4060211999-11-02
spellingShingle Particle Physics - Theory
Mayr, P.
Conformal Field Theories on K3 and Three-Dimensional Gauge Theories
title Conformal Field Theories on K3 and Three-Dimensional Gauge Theories
title_full Conformal Field Theories on K3 and Three-Dimensional Gauge Theories
title_fullStr Conformal Field Theories on K3 and Three-Dimensional Gauge Theories
title_full_unstemmed Conformal Field Theories on K3 and Three-Dimensional Gauge Theories
title_short Conformal Field Theories on K3 and Three-Dimensional Gauge Theories
title_sort conformal field theories on k3 and three-dimensional gauge theories
topic Particle Physics - Theory
url https://dx.doi.org/10.1088/1126-6708/2000/08/042
http://cds.cern.ch/record/406021
work_keys_str_mv AT mayrp conformalfieldtheoriesonk3andthreedimensionalgaugetheories

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