Morita equivalence and duality
High Energy Physics - Theory
2010-11-19 v1 Mathematical Physics
math.MP
Operator Algebras
Quantum Algebra
Abstract
It was shown by Connes, Douglas, Schwarz[1] that one can compactify M(atrix) theory on noncommutative torus. We prove that compactifications on Morita equivalent tori are physically equivalent. This statement can be considered as a generalization of non-classical duality conjectured in [1] for two-dimensional tori.
Keywords
Cite
@article{arxiv.hep-th/9805034,
title = {Morita equivalence and duality},
author = {Albert Schwarz},
journal= {arXiv preprint arXiv:hep-th/9805034},
year = {2010}
}