Free Boson Representation of DY_ℏ(sl₂)_k and the Deformation of the Feigin-Fuchs

1997/10/14 by X. M. Ding, L. Zhao
Physics and Astronomy · #hep-th

paper · pdf

published as Commun.Theor.Phys. 32 (1999) 103-108 · Latex, no figure, 10pagers

arxiv created 1997/10/14 · arxiv updated 2009/11/30

Abstract

A realization of the Yangian double with center DY_ℏ(sl₂)_k of level k(\not=0,-2) in terms of free boson fields is constructed. The screening currents are also presented, which commute with DY_ℏ(sl₂) modulo total difference. In the ℏ→ 0 limit, the currents of Yangian double DY_ℏ(sl₂)_k becomes the Feigin-Fuchs realization of affine Lie sl(2)_k, while the screening currents of Yangian double DY_ℏ(sl₂)_k becomes the screening currents of the affine Lie algebra sl(2)_k.

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