Free Field Representation of Level-$k$ Yangian Double $\mathcal{D}Y(s{l}_2{)}_k$ and Deformation of Wakimoto Modules

Abstract

Free field representation of level-$k(\ne 0,-2)$ Yangian double $\mathcal{D}Y(s{l}_2{)}_k$ and a corresponding deformation of Wakimoto modules are presented. We also realize two types of vertex operators intertwining these modules.

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

References in corpus (2)

• Central Extension of the Yangian Double
• A central extension of $\cD Y_{\hbar}(\gtgl_2)$ and its vertex representations