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

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

1997-01-26

arxiv.org/abs/q-alg/9701025v2

Mathematics

Quantum Algebra

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

Scientific paper

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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