Abstract
We consider equivariant dimensional reduction of Yang-Mills theory on
Kähler manifolds of the form M × 
P1 × P1. This induces
a rank two quiver gauge theory on M which can be formulated as a
Yang-Mills theory of graded connections on M. The reduction of the
Yang-Mills equations on M × P1 × P1 induces quiver gauge
theory equations on M and quiver vortex equations in the BPS sector.
When M is the noncommutative space 
θ2n both BPS and
non-BPS solutions are obtained, and interpreted as states of D-branes.
Using the graded connection formalism, we assign D0-brane charges in
equivariant K-theory to the quiver vortex configurations. Some
categorical properties of these quiver brane configurations are also
described in terms of the corresponding quiver representations.
Export citation and abstract BibTeX RIS