Local conserved charges in principal chiral models

Abstract

We investigate local conserved charges in principal chiral models in 1+1 dimensions. There is a classically conserved local charge for each invariant tensor of the underlying group. We prove that these are always in involution with the non-local Yangian charges and we study their classical Poisson bracket algebra. For the groups U(N), O(N) and Sp(N) we show… (More)

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