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

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.

19pages, Latex, no figures

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Cited by in corpus (3)

• Yangian doubles of classical types and their vertex representations
• On the Vertex Operators of the Elliptic Quantum Algebra $U_{q,p}(\widehat{s{l}_2}{)}_k$}
• The elliptic quantum algebra $U_{q,p}(\widehat{s{l}_N})$ and its vertex operators