Compactification of M(atrix) theory on noncommutative toroidal orbifolds

Details Compactification of M(atrix) theory on noncommutative toroidal orbifolds Compactification of M(atrix) theory on noncommutative toroidal orbifolds

1999-12-20

arxiv.org/abs/hep-th/9912185v2

Nucl.Phys. B591 (2000) 667-684

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, Latex; v2: comments clarifying the duality group structure added, section 5 extended, minor improvements all over th

Scientific paper

10.1016/S0550-3213(00)00544-7

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_{\theta} 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_{\theta} (Z_{2}-equivariant projective modules over a noncommutative torus). We analyze the Morita equivalence (duality) for B_{\theta} algebras working out the two-dimensional case in detail.

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