Deformed Minimal Models and Generalized Toda Theory

Abstract

We introduce a generalization of $A_r$-type Toda theory based on a non-abelian group G, which we call the $(A_r,G)$-Toda theory, and its affine extensions in terms of gauged Wess-Zumino-Witten actions with deformation terms. In particular, the affine $(A_1,SU(2))$-Toda theory describes the integrable deformation of the minimal conformal theory for the critical Ising model by the operator ${\Phi }_{(2,1)}$. We derive infinite conserved charges and soliton solutions from the Lax pair of the affine $(A_1,SU(2))$-Toda theory. Another type of integrable deformation which accounts for the ${\Phi }_{(3,1)}$-deformation of the minimal model is also found in the gauged Wess-Zumino-Witten context and its infinite conserved charges are given.

11pages, SNUCTP 94-83 (One reference has been added.)

References in corpus (2)

• Conservation Laws and Geometry of Perturbed Coset Models
• Deformed Coset Models From Gauged WZW Actions

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