Compactification of M(atrix) theory on noncommutative toroidal orbifolds
High Energy Physics - Theory
2014-11-18 v2
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/9912185,
title = {Compactification of M(atrix) theory on noncommutative toroidal orbifolds},
author = {A. Konechny and A. Schwarz},
journal= {arXiv preprint arXiv:hep-th/9912185},
year = {2014}
}
Comments
19 pages, Latex; v2: comments clarifying the duality group structure added, section 5 extended, minor improvements all over the text