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

A. Zadra; L.E. Saltini

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

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arxiv solv-int/9511007 v2 pith:G67OMWHO submitted 1995-11-16 solv-int hep-thnlin.SI

L.E. Saltini , A. Zadra This is my paper

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keywords algebrachargesgraphicnon-linearnon-localsigmasupersymmetricbosonic

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abstract

We propose a graphic method to derive the classical algebra (Dirac brackets) of non-local conserved charges in the two dimensional supersymmetric non-linear $O(N)$ sigma model. As in the purely bosonic theory we find a cubic Yangian algebra. We also consider the extension of graphic methods to other integrable theories.

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The classical Yangian symmetry of Auxiliary Field Sigma Models
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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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