We investigate transformations on the group manifold element and gauged elds on two diierent kinds of gauged WZNW models and in this way obtain a duality-like transformation between chiral and vector gauged WZNW models with null gauged subgroups, that exactly converts the chiral gauged WZNW action to vector gauged WZNW action and vice versa. These duality-like transformations correspond to the ...

We discuss a new type of unitary perturbations around conformal theories inspired by the σ-model perturbation of the nonunitary WZNW model. We show that the nonunitary level k WZNW model perturbed by its sigma model term goes to the unitary level −k WZNW model. When plugged into the gauged WZNW model the given perturbation results in the perturbed gauged WZNW model which no longer describes a c...

We show that O(2, 2) transformation of SU(2) WZNW model gives rise to marginal deformation of this model by the operator d 2 zJ(z) ¯ J (¯ z) where J, ¯ J are U(1) currents in the Cartan subalgebra. Generalization of this result to other WZNW theories is discussed. We also consider O(3, 3) transformation of the product of an SU(2) WZNW model and a gauged SU(2) WZNW model. The three parameter set...

The WZNW model at the Witten conformal point is perturbed by the σ-model term. It is shown that in the large level k limit the perturbed WZNW system with negative k arrives at the WZNW model with positive k.

Operator quantization of the WZNW theory for Lie algebra g with constrained affine Lie algebrâ h, h ⊂ g, is performed.The extended phase space and effective first class constraints are constructed which determine a class of g/h coset primary fields and currents. In a recent article [1] for generic g/h coset conformal field theory [2, 3] a class of Virasoro currents and primary fields was constr...

It is well-known that the Toda Theories can be obtained by reduction from the Wess-Zumino-Novikov-Witten (WZNW) model, but it is less known that this WZNW → Toda reduction is 'incomplete'. The reason for this incompleteness being that the Gauss decomposition used to define the Toda fields from the WZNW field is valid locally but not globally over the WZNW group manifold, which implies that actu...

Operator quantization of constrained WZNW theories and coset constructions. Abstract Using two WZNW theories for Lie algebras g and h, h ⊂ g, we construct the associative quotient algebra which includes a class of g/h coset primary fields and currents. 1. In a recent article [1] for generic g/h coset conformal field theory [2] a class of Virasoro primary fields and currents was constructed.They...

We show that the WZNW model with arbitrary σ-model coupling constant may be viewed as a σ-model perturbation of the WZNW theory around the Witten conformal point. In order for the σ-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 wi...

We introduce a consistent gauge extension of the SL(2, R) WZNW system, defined by a difference of two simple WZNW actions. By integrating out some dynamical variables in the functional integral, we show that the resulting effective theory coincides with the induced gravity in 2D. General solutions of both theories are found and related to each other. 1 Gauge extension of the WZNW system Dynamic...