%0 Journal Article
%T Free boson representation of DY_{\hbar}(gl_N)_k
%A X. M. Ding
%A B. Y. Hou
%A B. Yuan Hou
%A L. Zhao
%J Mathematics
%D 1997
%I arXiv
%R 10.1063/1.532288
%X We construct a realization of the Yangian double DY_\hbar(gl_N) and DY_\hbar(sl_N) of an arbitrary level k in terms of free boson fields with a continuous parameter. In the \hbar \to 0 limit this realization becomes the Wakimoto realization of kac-Moody algebra gl_N and sl_N, respectively. The vertex operators and the screening currents are also constructed with the same spirits; the screening currents commute with DY_\hbar(sl_N) modulo total difference.
%U http://arxiv.org/abs/hep-th/9709016v1