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

1997/01/26 by Bo-Yu Hou, Liu Zhao, Hou, Bo-Yu +3
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Nonlinear Waves and Solitons #math.QA #q-alg

paper · pdf · doi:10.48550/arxiv.q-alg/9701025

LaTeX file, amssymb and amsart used. 13 pages, no figures. Several misprints corrected, some in important formulas

arxiv created 1997/04/07 · arxiv updated 2009/11/30

Abstract

We derive a free boson representation of the Yangian double DY_ℏ(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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