Exactly soluble models of conformal quantum field theory associated with the simple Lie algebra D sub n

Abstract

We construct a class of exactly soluble models of two-dimensional conformal quantum field theory, which describes certain critical points of RSOS statistical systems, associated with the {ital D}{sub {ital n}} series of simple Lie algebras. The infinite-dimensional symmetry algebras of these models are obtained by quantization of the classical Hamiltonian structures of generalized KdV equations.