Conformal theories, grassmannians and soliton hierarchies. Pt. 2

We define a multiple covering of the space on which the infinite dimensional grassmannian manifold is defined. This leads us to the construction of the Virasoro operators appropriate for this space. Computing the Lie bracket, we obtain the values of the central charge of this model. The computation of the correlation functions of this system is carried out, using the vertex operators which give the basic representations of the infinite dimensional Kac-Moody algebras of A type. These vertex operators were already used in the mathematical literature to compute the N soliton solutions of various soliton hierarchies. (orig.)