Conformal Invariance of Interacting WZNW Models

Abstract

We consider two level $k$ WZNW models coupled to each other through a generalized Thirring-like current-current interaction. It is shown that in the large $k$ limit, this interacting system can be presented as a two-parameter perturbation around a nonunitary WZNW model. The perturbation operators are the sigma model kinetic terms with metric related to the Thirring coupling constants. The renormalizability of the perturbed model leads to an algebraic equation for couplings. This equation coincides with the master Virasoro equation. We find that the beta functions of the two-parameter perturbation have nontrivial zeros depending on the Thirring coupling constants. Thus we exhibit that solutions to the master equation provide nontrivial conformal points to the system of two interacting WZNW models.

LaTex file, 17 pages, QMW 94-26

References in corpus (7)

• Conformal sigma models corresponding to gauged Wess-Zumino-Witten theories
• Exact string background from a WZW model based on the Heisenberg group
• Antisymmetric tensor coupling and conformal invariance in sigma models corresponding to gauged WZNW theories
• The BRST formulation of G/H WZNW models
• Conformal Turbulence
• The Conformal Points of the Generalized Thirring Model II
• Solutions of the Master Virasoro Equations as Conformal Points of Perturbed WZNW Model

Cited by in corpus (1)

• Irrational Conformal Field Theory