KacMoody realization of Walgebras
Abstract
By realizing the Walgebras of Toda fieldtheories as the algebras of gaugeinvariant polynomials of constrained KacMoody systems we obtain a simple algorithm for constructing Walgebras without computing the Wgenerators themselves. In particular this realization yields an identification of a primary field basis for all the Walgebras, quadratic bases for the A, B, Calgebras, and the relation of Walgebras to Casimir algebras. At the quantum level it yields the general formula for the Virasoro centre in terms of the KM level.
 Publication:

Physics Letters B
 Pub Date:
 July 1990
 DOI:
 10.1016/03702693(90)903413
 Bibcode:
 1990PhLB..244..435B