Free Boson Representation of $U_q(\widehat{s{l}_2})$

Abstract

A representation of the quantum affine algebra $U_q(\widehat{s{l}_2})$ of an arbitrary level $k$ is realized in terms of three boson fields, whose $q\to 1$ limit becomes the Wakimoto representation. An analogue of the screening current is also obtained. It commutes with the action of $U_q(\widehat{s{l}_2})$ modulo total difference of some fields.

arXiv comment8 pages, latex file, UT-617 (revised version)

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