Noether analysis for the hidden symmetry responsible for an infinite set of nonlocal currents

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Abstract
In general two-dimensional principal chiral models we exhibit a parametric infinitesimal transformation which is defined for all field configurations and leaves the action invariant. This "hidden" symmetry (i.e., the invariance of action) leads, through a Noether-type analysis, to a parametric conservation law. Expanding in the parameter, we find a systematic procedure to write down the infinitesimal transformations responsible for higher nonlocal currents and thus complete the derivation of the infinite set of nonlocal currents as Noether currents.