Deformed Minimal Models and Generalized Toda Theory

Details Deformed Minimal Models and Generalized Toda Theory Deformed Minimal Models and Generalized Toda Theory

1994-08-30

arxiv.org/abs/hep-th/9408167v2

Phys.Lett. B347 (1995) 73-79

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/0370-2693(95)00178-N

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.

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