Algebra of non-local charges in the O(N) WZNW model at and beyond criticality

Details Algebra of non-local charges in the O(N) WZNW model at and beyond criticality Algebra of non-local charges in the O(N) WZNW model at and beyond criticality

1997-07-24

arxiv.org/abs/solv-int/9707013v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX, no figures

Scientific paper

We derive the classical algebra of the non-local conserved charges in the O(N) WZNW model and analyze its dependence on the coupling constant of the Wess-Zumino term. As in the non-linear sigma model, we find cubic deformations of the O(N) affine algebra. The surprising result is that the cubic algebra of the WZNW non-local charges does not obey the Jacobi identity, thus opposing our expectations from the known Yangian symmetry of this model.

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