GENERALIZED KDV AND QUANTUM INVERSE SCATTERING DESCRIPTION OF CONFORMAL MINIMAL MODELS

We propose an alternative description of two-dimensional conformal fie ld theory in terms of quantum inverse scattering. It is based on the g eneralized KdV systems attached to A(2)((2)), yielding the classical l imit of Virasoro as Poisson bracket 2 structure. The corresponding T-s ystem is shown to coincide with the one recently proposed by Kuniba an d Suzuki. We classify the primary operators of the minimal models that commute with all the integrals of motion, and that are therefore cand idates to perturb the model by keeping the conservation laws. For our A(2)((2)) structure these happen to be phi(1,2), phi(2,1), phi(1,5), i n contrast to the A(1)((1)) case, studied by Bazhanov, Lukyanov and Za molodchikov [preprint CLNS 94/1316, RU-94-98, 1 hep-th/9412229], relat ed to phi(1,3).