English

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

High Energy Physics - Theory 2009-10-28 v2

Abstract

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|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.

Keywords

Cite

@article{arxiv.hep-th/9503021,
  title  = {Conformal Points and Duality of Non-Abelian Thirring Models and Interacting WZNW Models},
  author = {C. M. Hull and O. A. Soloviev},
  journal= {arXiv preprint arXiv:hep-th/9503021},
  year   = {2009}
}

Comments

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