Abstract
We consider SU(3)-equivariant dimensional reduction of Yang-Mills theory on
Kähler manifolds of the form M × SU(3)/H, with H = SU(2) × U(1)
or H = U(1) × 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 
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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