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

dc.creatorLechtenfeld, Olaf
dc.creatorPopov, Alexander D.
dc.creatorSzabo, Richard J.
dc.date2008-06-17
dc.date2008-08-10
dc.date.accessioned2026-07-07T11:51:45Z
dc.date.available2026-07-07T11:51:45Z
dc.descriptionWe 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.
dc.description1+56 pages, 9 figures; v2: clarifying comments added, final version to appear in JHEP
dc.identifierhttps://arxiv.org/abs/0806.2791
dc.identifierhttp://arxiv.org/abs/0806.2791
dc.identifierJHEP0808:093,2008
dc.identifierdoi:10.1088/1126-6708/2008/08/093
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/204004
dc.subjectHigh Energy Physics - Theory
dc.titleSU(3)-Equivariant Quiver Gauge Theories and Nonabelian Vortices
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