The WZNW model as an integrable perturbation of the Witten conformal point

Abstract

We show that the WZNW model with arbitrary $\sigma$-model coupling constant may be viewed as a $\sigma$-model perturbation of the WZNW theory around the Witten conformal point. In order for the $\sigma$-model perturbation to be relevant, the level $k$ of the underlying affine algebra has to be negative. We prove that in the large $|k|$ limit the perturbed WZNW system with negative $k$ flows to the conformal WZNW model with positive level. The flow appears to be integrable due to the existence of conserved currents satisfying the Lax equation. This fact is in a favorable agreement with the integrability of the WZNW model discovered by Polyakov and Wiegmann within the Bethe ansatz technique.

13 pages, LaTex file, QMW-93-28

References in corpus (2)

• Conformal sigma models corresponding to gauged Wess-Zumino-Witten theories
• The WZNW model as an integrable perturbation of the Witten conformal point

Cited by in corpus (7)

• The WZNW model as an integrable perturbation of the Witten conformal point
• Conformal Points and Duality of Non-Abelian Thirring Models and Interacting WZNW Models
• Gravitationally dresed RG flows and zig-zag invariant strings
• Perturbed Gauged WZNW Models
• Relevant Perturbations of the SU(1,1)/U(1) Coset
• The Gauged WZNW Model Perturbed by the Sigma Model Term
• Towards c=0 Flows