Free Boson Representation of $U_q(\widehat{sl}_3)$

Details Free Boson Representation of $U_q(\widehat{sl}_3)$ Free Boson Representation of $U_q(\widehat{sl}_3)$

1993-05-06

arxiv.org/abs/hep-th/9305017v1

Lett. Math. Phys. 30 (1994) 207-216

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTeX, RIMS-920, YITP/K-1017

Scientific paper

10.1007/BF00805853

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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