Conformal Points and Duality of Non-Abelian Thirring Models and Interacting WZNW Models

Details Conformal Points and Duality of Non-Abelian Thirring Models and Interacting WZNW Models Conformal Points and Duality of Non-Abelian Thirring Models and Interacting WZNW Models

1995-03-03

arxiv.org/abs/hep-th/9503021v2

Nucl.Phys. B459 (1996) 243-262

Physics

High Energy Physics

High Energy Physics - Theory

This is a version which will appear in Nucl. Phys. B

Scientific paper

10.1016/0550-3213(95)00603-6

We show that the strong coupling phase of the non-Abelian Thirring model is dual to the weak-coupling 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 nontrivial 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.

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