Conformal points and duality of non-abelian thirring models and interacting WZNW models Original Research Article

We show that the strong coupling phase of the non-Abelian Thirring model is dual to the weakcoupling phase of a system of two WZNW models coupled to each other through a current-current interaction. This latter system is integrable and is related to a perturbed conformal field theory which, in the large |k| limit, has a non-trivial zero of the perturbation-parameter beta function. The non-Abelian Thirring model reduces to a free fermion theory plus a topological field theory at this critical point, which should therefore be identified with the isoscalar Dashen-Frishman conformal point. The relationship with the Gross-Neveu model is discussed.