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q-affine-Yangian double correspondence and free boson representation of Yangian double with arbitrary level

Bo-Yu Hou·Liu Zhao·Xiang-Mao Ding
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Abstract

We derive a free boson representation of the Yangian double $DY_\hbar(sl_N)$ with arbitrary level k using the observation that there is a correspondence between the q-affine algebra and Yangian double associated with the same Cartan matrix. Vertex operator and screening currents are not obtained in the same way.

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Bo-Yu Hou, Liu Zhao, Xiang-Mao Ding. 1997-04-07. q-affine-Yangian double correspondence and free boson representation of Yangian double with arbitrary level. https://arxiv.org/abs/q-alg/9701025

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