The Algebra of Non-Local Charges in Non-Linear Sigma Models

A.Zadra; E. Abdalla; J.C. Brunelli; M.C.B. Abdalla

The Algebra of Non-Local Charges in Non-Linear Sigma Models

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arxiv hep-th/9307071 v1 pith:UIC6CHYS submitted 1993-07-09 hep-th

E. Abdalla , M.C.B. Abdalla , J.C. Brunelli , A.Zadra This is my paper

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keywords algebranon-linearchargesdiracmodelsnon-localordersigma

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abstract

We obtain the exact Dirac 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. The non-linear terms are computed in closed form. In each Dirac bracket we only find highest order terms (as explained in the paper), defining a saturated algebra. We generalize the results for the presence of a Wess-Zumino term. The algebra is very similar to the previous one, containing now a calculable correction of order one unit lower.

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Generalizes the BIZZ recursive procedure and provides sufficient conditions under which auxiliary field deformations of integrable sigma models retain classical Yangian symmetry and Maillet bracket structure.

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