Moduli spaces of maximally supersymmetric solutions on noncommutative tori and noncommutative orbifolds

Details Moduli spaces of maximally supersymmetric solutions on noncommutative tori and noncommutative orbifolds Moduli spaces of maximally supersymmetric solutions on noncommutative tori and noncommutative orbifolds

2000-05-19

arxiv.org/abs/hep-th/0005174v1

JHEP 0009 (2000) 005

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, Latex

Scientific paper

10.1088/1126-6708/2000/09/005

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.

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