More Nonlocal Conserved Currents in Chiral Sigma Models

The infinite many nonlocal conserved currents are given for the principal chiral model. Wess-Zuminc-Witten chiral model and the supersymmetric chiral model with respect to the new hidden symmetry transformatione. It is shown that these conserved currents are related to the classical r-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.