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

A. Konechny·A. Schwarz
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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.

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A. Konechny, A. Schwarz. 2000-05-19. Moduli spaces of maximally supersymmetric solutions on noncommutative tori and noncommutative orbifolds. https://doi.org/10.1088/1126-6708%2F2000%2F09%2F005

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