Abstract
We consider equivariant dimensional reduction of Yang-Mills theory on Kähler manifolds of the form M × CP1 × CP1. 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 × CP1 × CP1 induces quiver gauge theory equations on M and quiver vortex equations in the BPS sector. When M is the noncommutative space R?2n 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. © SISSA 2006.
Original language | English |
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Article number | 054 |
Journal | Journal of High Energy Physics |
Volume | 2006 |
Issue number | 9 |
DOIs | |
Publication status | Published - 1 Sep 2006 |
Keywords
- Brane Dynamics in Gauge Theories
- Non-Commutative Geometry
- Solitons Monopoles and Instantons