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

Physics – High Energy Physics – High Energy Physics - Theory

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16 pages, LaTeX file, figure is available by request, to appear in Lett.Math.Phys

Scientific paper

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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