Free boson representation of DY_{\hbar}(gl_N)_k

Details Free boson representation of DY_{\hbar}(gl_N)_k Free boson representation of DY_{\hbar}(gl_N)_k

1997-09-02

arxiv.org/abs/hep-th/9709016v1

J.Math.Phys.39:2273-2289,1998

Physics

High Energy Physics

High Energy Physics - Theory

19pages, Latex, no figures

Scientific paper

10.1063/1.532288

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.

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