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arXiv · 0806.2791

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

Olaf Lechtenfeld·Alexander D. Popov·Richard J. Szabo
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Abstract

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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Olaf Lechtenfeld, Alexander D. Popov, Richard J. Szabo. 2008-08-10. SU(3)-Equivariant Quiver Gauge Theories and Nonabelian Vortices. https://doi.org/10.1088/1126-6708%2F2008%2F08%2F093

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