THE ALGEBRA OF NONLOCAL CHARGES IN NONLINEAR SIGMA-MODELS
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Abstract
We obtain the exact classical algebra obeyed by the conserved non-local charges in bosonic non-linear sigma models. Part of the computation is specialized for a symmetry group O(N). As it turns out the algebra corresponds to a cubic deformation of the Kac-Moody algebra. We generalize the results for the presence of a Wess-Zumino term. The algebra is very similar to the previous one, now containing a calculable correction of order one unit lower. The relation with Yangians and the role of the results in the context of Lie-Poisson algebras are also discussed.
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Communications In Mathematical Physics. New York: Springer Verlag, v. 166, n. 2, p. 379-396, 1994.
