Integrable Sigma-models and Drinfeld-Sokolov Hierarchies

Details Integrable Sigma-models and Drinfeld-Sokolov Hierarchies Integrable Sigma-models and Drinfeld-Sokolov Hierarchies

2001-01-31

arxiv.org/abs/hep-th/0101231v1

Nucl.Phys. B608 (2001) 591-609

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, LaTeX

Scientific paper

10.1016/S0550-3213(01)00157-2

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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