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Free Field Representation of Level-$k$ Yangian Double ${\cal D}Y(sl_2)_k$ and Deformation of Wakimoto Modules

Hitoshi Konno
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Abstract

Free field representation of level-$k (\not=0,-2)$ Yangian double ${\cal D}Y(sl_2)_k$ and a corresponding deformation of Wakimoto modules are presented. We also realize two types of vertex operators intertwining these modules.

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Hitoshi Konno. 1996-06-04. Free Field Representation of Level-$k$ Yangian Double ${\cal D}Y(sl_2)_k$ and Deformation of Wakimoto Modules. https://arxiv.org/abs/q-alg/9605045

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