English

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

High Energy Physics - Theory 2015-06-26 v1

Abstract

We realize the Uq(sl(2)^)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 q1q\rightarrow 1. Our realization coincides with those of Frenkel-Jing and Bernard when the level kk takes the values 1 and 2 respectively.

Keywords

Cite

@article{arxiv.hep-th/9407132,
  title  = {On a Bosonic-Parafermionic Realization of $U_q(\widehat{sl(2)})$},
  author = {A. Hamid Bougourzi and Luc Vinet},
  journal= {arXiv preprint arXiv:hep-th/9407132},
  year   = {2015}
}

Comments

8 pages, CRM-2201