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Paper detail

Compactification of M(atrix) theory on noncommutative toroidal orbifolds

It was shown by A. Connes, M. Douglas and A. Schwarz that noncommutative tori arise naturally in consideration of toroidal compactifications of M(atrix) theory. A similar analysis of toroidal Z_{2} orbifolds leads to the algebra B_θ that can be defined as a crossed product of noncommutative torus and the group Z_{2}. Our paper is devoted to the study of projective modules over B_θ (Z_{2}-equivariant projective modules over a noncommutative torus). We analyze the Morita equivalence (duality) for B_θ algebras working out the two-dimensional case in detail.

preprint2000arXivOpen access
A. KonechnyA. Schwarz
hep-th
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A. KonechnyA. Schwarz

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