Free boson representation of DY(glN)k
X. M. Ding, B. Y. Hou, B. Yuan Hou, L. Zhao
Abstract
We construct a realization of the Yangian double DY(glN) and DY(slN) of an arbitrary level k in terms of free boson fields with a continuous parameter. In the 0 limit this realization becomes the Wakimoto realization of kac-Moody algebra glN and slN, respectively. The vertex operators and the screening currents are also constructed with the same spirits; the screening currents commute with DY(slN) modulo total difference.
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