q-affine-Yangian double correspondence and free boson representation of Yangian double with arbitrary level
Bo-Yu Hou, Liu Zhao, Xiang-Mao Ding
Abstract
We derive a free boson representation of the Yangian double DY(slN) 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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