Perturbed Gauged WZNW Models

Abstract

We discuss a new type of unitary perturbations around conformal theories inspired by the $\sigma$-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 coset construction. We consider the BRST invariant generalization of the sigma model perturbation around the gauged WZNW model. In this way we obtain perturbed coset constructions. In the case of the $S{U}_{m-2}(2)\times S{U}_1(2)/S{U}_{m-1}(2)$ coset, the BRST invariant sigma model perturbation is identical to Zamolodchikov's ${\Phi }_{(3,1)}$ perturbation of the minimal conformal series. The existence of general geometry flows is clarified.

LaTex file, 20 pages, Preprint QMW 94-9. This is a version to apper in Nucl. Phys. B

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• Closed String Field Theory: Quantum Action and the BV Master Equation
• Antisymmetric tensor coupling and conformal invariance in sigma models corresponding to gauged WZNW theories
• Exact Effective Action and Spacetime Geometry in Gauged WZW Models
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• Branes in the 2D black hole
• Strings in Gravimagnetic Fields
• Remarks on free field realization of SL(2,R)/U(1) x U(1) WZNW model
• Free field realization of superstring theory on AdS3
• Gravitationally dresed RG flows and zig-zag invariant strings
• Conformal Points and Duality of Non-Abelian Thirring Models and Interacting WZNW Models
• Relevant Perturbations of the SU(1,1)/U(1) Coset