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arxiv: hep-th/9201025 · v1 · submitted 1992-01-13 · ✦ hep-th

Current Algebra of Classical Non-Linear Sigma Models

M.Forger , J.Laartz , U.Schaeper This is my paper
classification ✦ hep-th
keywords algebracurrentclassicalmodelsnon-linearsigmaadditionanalyzed
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The current algebra of classical non-linear sigma models on arbitrary Riemannian manifolds is analyzed. It is found that introducing, in addition to the Noether current $j_\mu$ associated with the global symmetry of the theory, a composite scalar field $j$, the algebra closes under Poisson brackets.

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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.