Moduli spaces of maximally supersymmetric solutions on noncommutative tori and noncommutative orbifolds
arXiv:hep-th/0005174 · doi:10.1088/1126-6708/2000/09/005
Abstract
A maximally supersymmetric configuration of super Yang-Mills living on a noncommutative torus corresponds to a constant curvature connection. On a noncommutative toroidal orbifold there is an additional constraint that the connection be equivariant. We study moduli spaces of (equivariant) constant curvature connections on noncommutative even-dimensional tori and on toroidal orbifolds. As an illustration we work out the cases of Z_{2} and Z_{4} orbifolds in detail. The results we obtain agree with a commutative picture describing systems of branes wrapped on cycles of the torus and branes stuck at exceptional orbifold points.
arXiv comment21 pages, Latex
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