Algebraic treatment of compactification on noncommutative tori
High Energy Physics - Theory
2009-10-31 v3
Abstract
In this paper we study the compactification conditions of the M theory on D-dimensional noncommutative tori. The main tool used for this analysis is the algebra A(Z^D) of the projective representations of the abelian group Z^D. We exhibit the explicit solutions in the space of the multiplication algebra of A(Z^D), that is the algebra generated by right and left multiplications.
Keywords
Cite
@article{arxiv.hep-th/9801170,
title = {Algebraic treatment of compactification on noncommutative tori},
author = {R. Casalbuoni},
journal= {arXiv preprint arXiv:hep-th/9801170},
year = {2009}
}
Comments
8 pages, Latex, shortened version as accepted for publication in Physics Letters