Algebraic treatment of compactification on noncommutative tori

Casalbuoni, R.

doi:10.1016/S0370-2693(98)00542-5

Algebraic treatment of compactification on noncommutative tori

R. Casalbuoni
(
- Geneva U.
)

Jan, 1998

15 pages

Published in:

Phys.Lett.B 431 (1998) 69-72

e-Print:

hep-th/9801170 [hep-th]

DOI:

10.1016/S0370-2693(98)00542-5

Report number:

UGVA-DPT-1998-01-996

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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.

Note:

8 pages, Latex, shortened version as accepted for publication in Physics Letters Report-no: UGVA-DPT/1998/01-996

11.25.M
02.10.S
11.25.H

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