### 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 Φ_{(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 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 language | English |
---|---|

Pages (from-to) | 73-79 |

Number of pages | 7 |

Journal | Physics Letters B |

Volume | 347 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 1995 Mar 16 |

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

## Fingerprint Dive into the research topics of 'Deformed minimal models and generalized Toda theory'. Together they form a unique fingerprint.

## Cite this

*Physics Letters B*,

*347*(1-2), 73-79. https://doi.org/10.1016/0370-2693(95)00178-N