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SU(3)-Equivariant Quiver Gauge Theories and Nonabelian Vortices

We consider SU(3)-equivariant dimensional reduction of Yang-Mills theory on Kaehler manifolds of the form M x SU(3)/H, with H = SU(2) x U(1) or H = U(1) x U(1). The induced rank two quiver gauge theories on M are worked out in detail for representations of H which descend from a generic irreducible...

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Detalles Bibliográficos
Autores principales: Lechtenfeld, Olaf, Popov, Alexander D., Szabo, Richard J.
Lenguaje:eng
Publicado: 2008
Materias:
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2008/08/093
http://cds.cern.ch/record/1110429
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author Lechtenfeld, Olaf
Popov, Alexander D.
Szabo, Richard J.
author_facet Lechtenfeld, Olaf
Popov, Alexander D.
Szabo, Richard J.
author_sort Lechtenfeld, Olaf
collection CERN
description We consider SU(3)-equivariant dimensional reduction of Yang-Mills theory on Kaehler manifolds of the form M x SU(3)/H, with H = SU(2) x U(1) or H = U(1) x U(1). The induced rank two quiver gauge theories on M are worked out in detail for representations of H which descend from a generic irreducible SU(3)-representation. The reduction of the Donaldson-Uhlenbeck-Yau equations on these spaces induces nonabelian quiver vortex equations on M, which we write down explicitly. When M is a noncommutative deformation of the space C^d, we construct explicit BPS and non-BPS solutions of finite energy for all cases. We compute their topological charges in three different ways and propose a novel interpretation of the configurations as states of D-branes. Our methods and results generalize from SU(3) to any compact Lie group.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2008
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spelling cern-11104292023-03-15T19:11:19Zdoi:10.1088/1126-6708/2008/08/093http://cds.cern.ch/record/1110429engLechtenfeld, OlafPopov, Alexander D.Szabo, Richard J.SU(3)-Equivariant Quiver Gauge Theories and Nonabelian VorticesParticle Physics - TheoryWe consider SU(3)-equivariant dimensional reduction of Yang-Mills theory on Kaehler manifolds of the form M x SU(3)/H, with H = SU(2) x U(1) or H = U(1) x U(1). The induced rank two quiver gauge theories on M are worked out in detail for representations of H which descend from a generic irreducible SU(3)-representation. The reduction of the Donaldson-Uhlenbeck-Yau equations on these spaces induces nonabelian quiver vortex equations on M, which we write down explicitly. When M is a noncommutative deformation of the space C^d, we construct explicit BPS and non-BPS solutions of finite energy for all cases. We compute their topological charges in three different ways and propose a novel interpretation of the configurations as states of D-branes. Our methods and results generalize from SU(3) to any compact Lie group.We consider SU(3)-equivariant dimensional reduction of Yang-Mills theory on Kaehler manifolds of the form M x SU(3)/H, with H = SU(2) x U(1) or H = U(1) x U(1). The induced rank two quiver gauge theories on M are worked out in detail for representations of H which descend from a generic irreducible SU(3)-representation. The reduction of the Donaldson-Uhlenbeck-Yau equations on these spaces induces nonabelian quiver vortex equations on M, which we write down explicitly. When M is a noncommutative deformation of the space C^d, we construct explicit BPS and non-BPS solutions of finite energy for all cases. We compute their topological charges in three different ways and propose a novel interpretation of the configurations as states of D-branes. Our methods and results generalize from SU(3) to any compact Lie group.arXiv:0806.2791ITP-UH-06-08CERN-PH-TH-2008-054HWM-08-5EMPG-08-10CERN-PH-TH-2008-054EMPG-2008-10HWM-2008-5ITP-UH-2008-06oai:cds.cern.ch:11104292008-06-18
spellingShingle Particle Physics - Theory
Lechtenfeld, Olaf
Popov, Alexander D.
Szabo, Richard J.
SU(3)-Equivariant Quiver Gauge Theories and Nonabelian Vortices
title SU(3)-Equivariant Quiver Gauge Theories and Nonabelian Vortices
title_full SU(3)-Equivariant Quiver Gauge Theories and Nonabelian Vortices
title_fullStr SU(3)-Equivariant Quiver Gauge Theories and Nonabelian Vortices
title_full_unstemmed SU(3)-Equivariant Quiver Gauge Theories and Nonabelian Vortices
title_short SU(3)-Equivariant Quiver Gauge Theories and Nonabelian Vortices
title_sort su(3)-equivariant quiver gauge theories and nonabelian vortices
topic Particle Physics - Theory
url https://dx.doi.org/10.1088/1126-6708/2008/08/093
http://cds.cern.ch/record/1110429
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AT popovalexanderd su3equivariantquivergaugetheoriesandnonabelianvortices
AT szaborichardj su3equivariantquivergaugetheoriesandnonabelianvortices