On a Bosonic-Parafermionic Realization of $U_q(\widehat{sl(2)})$

Details On a Bosonic-Parafermionic Realization of $U_q(\widehat{sl(2)})$ On a Bosonic-Parafermionic Realization of $U_q(\widehat{sl(2)})$

1994-07-20

arxiv.org/abs/hep-th/9407132v1

Lett.Math.Phys. 36 (1996) 101-108

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, CRM-2201

Scientific paper

We realize the $U_q(\widehat{sl(2)})$ current algebra at arbitrary level in terms of one deformed free bosonic field and a pair of deformed parafermionic fields. It is shown that the operator product expansions of these parafermionic fields involve an infinite number of simple poles and simple zeros, which then condensate to form a branch cut in the classical limit $q\rightarrow 1$. Our realization coincides with those of Frenkel-Jing and Bernard when the level $k$ takes the values 1 and 2 respectively.

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