Abstract

A realization of the Yangian double with center DYℏ(sl2)k of level-k(≠ 0, -2) in terms of free boson fields is constructed. The screening currents are also presented, which commute with DYℏ(sl2) modulo total difference. In the ℏ → 0 limit, the currents of Yangian double DYℏ(sl2)k become the Feigin–Fuchs realization of affine Lie sl(2)k, while the screening currents of Yangian double DYℏ(sl2)k become the screening currents of the affine Lie algebra sl(2)k.

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