q-affine-Yangian double correspondence and free boson representation of Yangian double with arbitrary level
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.
- Publication:
-
eprint arXiv:q-alg/9701025
- Pub Date:
- January 1997
- DOI:
- 10.48550/arXiv.q-alg/9701025
- arXiv:
- arXiv:q-alg/9701025
- Bibcode:
- 1997q.alg.....1025H
- Keywords:
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- Mathematics - Quantum Algebra
- E-Print:
- LaTeX file, amssymb and amsart used. 13 pages, no figures. Several misprints corrected, some in important formulas