Free Boson Representation of U_q(widehat{sl}₃)
classification
✦ hep-th
keywords
representationwidehatbosonfieldsactionaffinealgebraanalogues
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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.
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