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

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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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High Energy Physics - Theory, Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/185612

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/hep-th/9709016
 http://arxiv.org/abs/hep-th/9709016
 J.Math.Phys.39:2273-2289,1998
 doi:10.1063/1.532288

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arXiv