Conformal blocks and correlators in a bosonized WZNW model

The solutions of the Knizhnik-Zamolodchikov equations as conformal blocks of the Wess-Zumino-Novikov-Witten SU(2) model on a sphere are examined. An action that permits finding the N-point correlators of the model, which are constructed in a natural manner from the conformal blocks, is proposed. This is an action of three free fields perturbed by a special marginal operator. The construction described should extend to the case of other groups and surfaces of higher genus. Pis’ma Zh. éksp. Teor. Fiz. 70, No. 10, 648–653 (25 November 1999)