Deformed minimal models and generalized Toda theory

Q. Han Park, H. J. Shin

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)

Abstract

We introduce a generalization of Ar-type Toda theory based on a non-Abelian group G, which we call the (Ar, G)-Toda theory, and its affine extensions in terms of gauged Wess-Zumino-Witten actions with deformation terms. In particular, the affine (A1, SU(2))-Toda theory describes the integrable deformation of the minimal conformal theory for the critical Ising model by the operator Φ(2,1). We derive infinite conserved charges and soliton solutions from the Lax pair of the affine (A1, SU(2))-Toda theory. Another type of integrable deformation which accounts for the Φ(3,1)-deformation of the minimal model is also found in the gauged Wess-Zumino-Witten context and its infinite conserved charges are given.

Original languageEnglish
Pages (from-to)73-79
Number of pages7
JournalPhysics Letters B
Volume347
Issue number1-2
DOIs
Publication statusPublished - 1995 Mar 16

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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