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We proceed to study infinite-dimensional symmetries in two-dimensionalsquashed Wess-Zumino-Novikov-Witten (WZNW) models at the classical level. Thetarget space is given by squashed S^3 and the isometry is SU(2)_L x U(1)_R. Itis known that SU(2)_L is enhanced to a couple of Yangians. We reveal here thatan infinite-dimensional extension of U(1)_R is a deformation of quantum affinealgebra, where a new deformation parameter is provided with the coefficient ofthe Wess-Zumino term. Then we consider the relation between the deformedquantum affine algebra and the pair of Yangians from the viewpoint of theleft-right duality of monodromy matrices. The integrable structure is alsodiscussed by computing the r/s-matrices that satisfy the extended classicalYang-Baxter equation. Finally two degenerate limits are discussed.

A deformation of quantum affine algebra in squashed WZNW models