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25 October 2021
 
  » arxiv » hep-th/9710106

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Free Boson Representation of $DY_{hbar}(sl_2)_k$ and the Deformation of the Feigin-Fuchs
X.M.Ding ; L. Zhao ;
Date 14 Oct 1997
Journal Commun.Theor.Phys. 32 (1999) 103-108
Subject hep-th
AbstractA realization of the Yangian double with center $DY_hbar(sl_2)_k$ of level $k( ot=0,-2)$ 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 $hbar o 0$ 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 $sl(2)_k$.
Source arXiv, hep-th/9710106
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