Algebraic treatment of compactification on noncommutative tori

Details Algebraic treatment of compactification on noncommutative tori Algebraic treatment of compactification on noncommutative tori

1998-01-26

arxiv.org/abs/hep-th/9801170v3

Phys.Lett. B431 (1998) 69-72

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Latex, shortened version as accepted for publication in Physics Letters

Scientific paper

10.1016/S0370-2693(98)00542-5

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.

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