Deformed minimal models and generalized Toda theory

Aug, 1994
7 pages
Published in:
  • Phys.Lett.B 347 (1995) 73-79
  • Published: 1995
e-Print:
Report number:
  • SNUCTP-94-83

Citations per year

1995199920032007201102468
Abstract:
We introduce a generalization of ArA_{r}-type Toda theory based on a non-abelian group G, which we call the (Ar,G)(A_{r},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))(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)\Phi_{(2,1)}. We derive infinite conserved charges and soliton solutions from the Lax pair of the affine (A1,SU(2))(A_{1}, SU(2))-Toda theory. Another type of integrable deformation which accounts for the Φ(3,1)\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.
  • field theory: conformal
  • model: minimal
  • dimension: 2
  • field theory: deformation
  • field theory: Toda
  • coset space