Algebraic treatment of compactification on noncommutative tori

R. Casalbuoni
1998 Physics Letters B  
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.
doi:10.1016/s0370-2693(98)00542-5 fatcat:eoxm5nmbcnaxzgmgxep3qpr4iy