Free Boson Representation of $U_{q}(\hat{sl_{2}})$

Details Free Boson Representation of $U_{q}(\hat{sl_{2}})$ Free Boson Representation of $U_{q}(\hat{sl_{2}})$

1992-09-05

arxiv.org/abs/hep-th/9209014v2

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, latex file, UT-617 (revised version)

Scientific paper

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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