Free Boson Representation of $U_q(\widehat{sl}_3)$
arXiv:hep-th/9305017 · doi:10.1007/BF00805853
Abstract
A representation of the quantum affine algebra $U_{q}(\widehat{sl}_3)$ of an arbitrary level $k$ is constructed in the Fock module of eight boson fields. This realization reduces the Wakimoto representation in the $q \rightarrow 1$ limit. The analogues of the screening currents are also obtained. They commute with the action of $U_{q}(\widehat{sl}_3)$ modulo total differences of some fields.
12 pages, LaTeX, RIMS-920, YITP/K-1017