HIGHER INTEGRALS OF MOTION IN A PERTURBED k = 1 SU(2) WESS-ZUMINO-WITTEN THEORY

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Abstract
We investigate higher integrals of motion in the k = 1 SU(2) Wess-Zumino-Witten (WZW) model perturbed by a certain relevant operator. While the perturbed system is a special case of a Sine-Gordon theory, it is shown to the lowest order in perturbation theory that there exist extra conserved currents due to the SU(2) symmetry in the original WZW model.

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