Free Boson Representation of $DY_{\hbar}(sl_2)_k$ and the Deformation of the Feigin-Fuchs

Details Free Boson Representation of $DY_{\hbar}(sl_2)_k$ and the Deformation of the Feigin-Fuchs Free Boson Representation of $DY_{\hbar}(sl_2)_k$ and the Deformation of the Feigin-Fuchs

1997-10-14

arxiv.org/abs/hep-th/9710106v1

Commun.Theor.Phys. 32 (1999) 103-108

Physics

High Energy Physics

High Energy Physics - Theory

Latex, no figure, 10pagers

Scientific paper

A realization of the Yangian double with center $DY_\hbar(sl_2)_k$ of level $k(\not=0,-2)$ in terms of free boson fields is constructed. The screening currents are also presented, which commute with $DY_\hbar(sl_2)$ modulo total difference. In the $\hbar\to 0$ limit, the currents of Yangian double $DY_\hbar(sl_2)_k$ becomes the Feigin-Fuchs realization of affine Lie $sl(2)_k$, while the screening currents of Yangian double $DY_\hbar(sl_2)_k$ becomes the screening currents of the affine Lie algebra $sl(2)_k$.

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