PreprintThe classical origin of quantum affine algebra in squashed sigma modelsIo Kawaguchi, Takuya Matsumoto, Kentaroh YoshidaAbstractWe consider a quantum affine algebra realized in twodimensional nonlinear sigma models with target space threedimensional squashed sphere. Its affine generators are explicitly constructed and the Poisson brackets are computed. The defining relations of quantum affine algebra in the sense of the Drinfeld first realization are satisfied at classical level. The relation to the Drinfeld second realization is also discussed including higher conserved charges. Finally we comment on a semiclassical limit of quantum affine algebra at quantum level. Keywords: squashed sigma models, quantum affine algebra, Poisson bracket, monodromy matrix.
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