### 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}, 5U(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, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 347 |

Issue number | 1-2 |

Publication status | Published - 1995 Dec 1 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*347*(1-2), 73-79.

**Deformed minimal models and generalized Toda theory.** / Park, Q Han; Shin, H. J.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 347, no. 1-2, pp. 73-79.

}

TY - JOUR

T1 - Deformed minimal models and generalized Toda theory

AU - Park, Q Han

AU - Shin, H. J.

PY - 1995/12/1

Y1 - 1995/12/1

N2 - 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, 5U(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.

AB - 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, 5U(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.

UR - http://www.scopus.com/inward/record.url?scp=0002923084&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002923084&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0002923084

VL - 347

SP - 73

EP - 79

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-2

ER -