Abstract

We construct a realization of the Yangian double DYℏ(glN)k and DYℏ(slN)k for an arbitrary level k in terms of free boson fields with a continuous parameter. In the ℏ→0 limit this realization becomes the Wakimoto realization of affine Lie algebras glN and slN, respectively. The vertex operators and the screening currents are also constructed with the same spirits; the screening currents commute with DYℏ(slN) modulo total difference.

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