Free Boson Representation of U q ( ŝl 3 )

Abstract

A representation of the quantum affine algebra Uq(ŝl3) of an arbitrary level k is constructed in the Fock module of eight boson fields. This realization reduces the Wakimoto representation in the q → 1 limit. The analogues of the screening currents are also obtained. They commute with the action of Uq(ŝl3) modulo total differences of some fields. Fellow of Soryushi Shogakukai On leave from Department of Physics, University of Tokyo, Tokyo 113, Japan

Cite this paper

@inproceedings{AwataFreeBR, title={Free Boson Representation of U q ( ŝl 3 )}, author={Hidetoshi Awata and Satoru Odake and Jun’ichi Shiraishi} }