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arXiv · hep-th/9709016

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

X. M. Ding·B. Y. Hou·B. Yuan Hou·L. Zhao
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Abstract

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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X. M. Ding, B. Y. Hou, B. Yuan Hou, L. Zhao. 1997-09-02. Free boson representation of DY_{\hbar}(gl_N)_k. https://doi.org/10.1063/1.532288

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