Free Boson Representation of U_(q)(hat{sl₂})
classification
✦ hep-th
keywords
representationbosonfieldsactionaffinealgebraanaloguearbitrary
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A representation of the quantum affine algebra $U_{q}(\hat{sl_{2}})$ of an arbitrary level $k$ is realized in terms of three boson fields, whose $q \rightarrow 1$ limit becomes the Wakimoto representation. An analogue of the screening current is also obtained. It commutes with the action of $U_{q}(\hat{sl_{2}})$ modulo total difference of some fields.
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