标题： 自由玻色子对$DY_{\hbar}(sl_2)_k$的表示和费金-富克斯的变形 显示英文标题

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

摘要： 的杨振宁双代数带有中心$DY_\hbar(sl_2)_k$的水平$k(\not=0,-2)$的实现通过自由玻色子场构造出来。 也给出了筛选电流，它们与$DY_\hbar(sl_2)$在全差分模下对易。 在$\hbar\to 0$极限下，Yangian 二重的电流$DY_\hbar(sl_2)_k$变为仿射李代数$sl(2)_k$的 Feigin-Fuchs 实现，而 Yangian 二重$DY_\hbar(sl_2)_k$的屏蔽电流变为仿射李代数$sl(2)_k$的屏蔽电流。 显示英文摘要

摘要： 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 $sl(2)_k$.