Abstract
We construct a realization of the quantum affine algebra
of an arbitrary level k in terms of free boson fields. In the q→1 limit this realization becomes the Wakimoto realization of
. The screening currents and the vertex operators (primary fields) are also constructed; the former commutes with
modulo total difference, and the latter creates the
highest weight state from the vacuum state of the boson Fock space.
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Communicated by H. Araki
fellow of Soryushi Shogakukai
Address after June 1: Department of Physics, Faculty of Liberal Arts, Shinshu University, Matsumoto 390, Japan
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Awata, H., Odake, S. & Shiraishi, J. Free boson realization of
.
Commun.Math. Phys. 162, 61–83 (1994). https://doi.org/10.1007/BF02105187
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DOI: https://doi.org/10.1007/BF02105187