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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...
Autores principales: | , , |
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Lenguaje: | eng |
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2008
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1088/1126-6708/2008/08/093 http://cds.cern.ch/record/1110429 |
_version_ | 1780914278045319168 |
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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. |
id | cern-1110429 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2008 |
record_format | invenio |
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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