INTEGRABLE DEFORMATIONS OF AFFINE TODA THEORIES AND DUALITY

We introduce and study five series of one-parameter families of two-di mensional integrable quantum held theories. These theories have a Lagr angian description in terms of the massive Thirring model coupled with non-simply laced affine Toda theories. Perturbative calculations, ana lysis of the factorized scattering theory and the Bethe ansatz techniq ue are used to show that these field theories possess the dual represe ntation available for the perturbative analysis in the strong coupling limit. The dual theory can be formulated as the non-linear sigma mode l with Witten's Euclidean black hole metric (complex sinh-Gordon theor y) coupled with non-simply laced affine Toda theories. Lie algebras as sociated with these ''dual'' Toda theories belong to the dual series o f affine algebras but have a smaller rank. The exact relation between coupling constants in the dual theories is conjectured.