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Integrable Sigma-models and Drinfeld-Sokolov Hierarchies

Jonathan M. Evans
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Abstract

Local commuting charges in sigma-models with classical Lie groups as target manifolds are shown to be related to the conserved quantities appearing in the Drinfeld-Sokolov (generalized mKdV) hierarchies. Conversely, the Drinfeld-Sokolov construction can be used to deduce the existence of commuting charges in these and in wider classes of sigma-models, including those whose target manifolds are exceptional groups or symmetric spaces. This establishes a direct link between commuting quantities in integrable sigma-models and in affine Toda field theories.

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Jonathan M. Evans. 2001-01-31. Integrable Sigma-models and Drinfeld-Sokolov Hierarchies. https://doi.org/10.1016/s0550-3213(01)00157-2

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