Conformal Models of Thirring Type and the Affine Virasoro Construction

Abstract

We investigate a class of models in 1+1 dimensions with four fermion interaction term. At each order of the perturbation expansion, the models are ultraviolet finite and Lorentz non-invariant. We show that for certain privileged values of the coupling constants, Lorentz symmetry is restored, and indeed the model turns out to be conformally invariant. This phenomenon is both quantum mechanical and non-perturbative.

14 pages, Latex. Some numerical errors have been corrected

References in corpus (7)

• A WZW model based on a non-semi-simple group
• Conformal sigma models corresponding to gauged Wess-Zumino-Witten theories
• Irrational Conformal Field Theory
• On a `universal' class of WZW-type conformal models
• Linearized Form of the Generic Affine-Virasoro Action
• The Conformal Points of the Generalized Thirring Model II
• Some Comments on Lie-Poisson Structure of Conformal Non-Abelian Thirring Models