TY - JOUR
T1 - Rank two quiver gauge theory, graded connections and noncommutative vortices
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
AU - Szabo, Richard J.
PY - 2006/9/1
Y1 - 2006/9/1
N2 - 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.
AB - 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.
KW - Brane Dynamics in Gauge Theories
KW - Non-Commutative Geometry
KW - Solitons Monopoles and Instantons
UR - https://www.scopus.com/pages/publications/33749412373
U2 - 10.1088/1126-6708/2006/09/054
DO - 10.1088/1126-6708/2006/09/054
M3 - Article
SN - 1126-6708
VL - 2006
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 9
M1 - 054
ER -