Discretization of Virasoro Algebra

Abstract

A $q$-discretization of \vi\ algebra is studied which reduces to the ordinary \vi\ algebra in the limit of q \ra 1. This is derived starting from the Moyal bracket algebra, hence is a kind of quantum deformation different from the quantum groups. Representation of this new algebra by using $q$-parametrized free fields is also given.Comment: 12 pages, Latex, TMUP-HEL-930