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

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

1993-07-09

arxiv.org/abs/hep-th/9307071v1

Commun.Math.Phys. 166 (1994) 379-396

Physics

High Energy Physics

High Energy Physics - Theory

27 pages + figures available via ftp, Plain TeX, IFUSP/P-1061

Scientific paper

10.1007/BF02112321

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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