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

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.

21 pages, Latex

References in corpus (3)

• D-branes and Deformation Quantization
• Compactification of M(atrix) theory on noncommutative toroidal orbifolds
• Projective modules over non-commutative tori: classification of modules with constant curvature connection

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