Compactification of M(atrix) theory on noncommutative toroidal orbifolds

Anatoly Konechny, Albert Schwarz

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


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 Z2 orbifolds leads to the algebra Bθ that can be defined as a crossed product of noncommutative torus and the group Z2. Our paper is devoted to the study of projective modules over Bθ (Z2-equivariant projective modules over a noncommutative torus). We analyze the Morita equivalence (duality) for Bθ algebras working out the two-dimensional case in detail.
Original languageEnglish
Pages (from-to)667-684
Number of pages8
JournalNuclear Physics B
Issue number3
Publication statusPublished - 25 Dec 2000


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