Deformation of the Wakimoto construction

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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8 pages

Scientific paper

We present the extension of the Wakimoto construction to the $su(2)_k$
quantum current algebra and its associated $Z_k$ quantum parafermion algebra.
This construction is achieved in terms of various deformations of three
classical free boson fields. We also give the vertex operators corresponding to
the quantum spin-$j$ representation.

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