Abstract
The infinite many nonlocal conserved currents are given for the principal chiral model. Wess–Zumino–Witten chiral model and the supersymmetric chiral model with respect to the new hidden symmetry transformations. It is shown that these conserved currents are related to the classical –matrix and thus decompose into many families. The approach used here provides a systematic method to derive the Casimir operators for the infinite dimensional Lie algebras in its nonunitary and nonhighest weight representations.
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