Deformed minimal models and generalized Toda theory

Park, Q-Han; Shin, H.J.

doi:10.1016/0370-2693(95)00178-N

Deformed minimal models and generalized Toda theory

Q-Han Park
(
- Kyung Hee U.
)
,
H.J. Shin
(
- Kyung Hee U.
)

Aug, 1994

7 pages

Published in:

Phys.Lett.B 347 (1995) 73-79

Published: 1995

e-Print:

hep-th/9408167 [hep-th]

DOI:

10.1016/0370-2693(95)00178-N

Report number:

SNUCTP-94-83

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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

\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.

field theory: conformal
model: minimal
dimension: 2
field theory: deformation
field theory: Toda
coset space

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Figures(0)

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