ON A BOSONIC-PARAFERMIONIC REALIZATION OF UQ(SL(2))OVER-CAP

Citation
Ah. Bougourzi et L. Vinet, ON A BOSONIC-PARAFERMIONIC REALIZATION OF UQ(SL(2))OVER-CAP, letters in mathematical physics, 36(2), 1996, pp. 101-108
Citations number
16
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
03779017
Volume
36
Issue
2
Year of publication
1996
Pages
101 - 108
Database
ISI
SICI code
0377-9017(1996)36:2<101:OABROU>2.0.ZU;2-R
Abstract
We realize the U-q(<(sl(2))over cap>) current algebra at an arbitrary level in terms of one deformed free bosonic field and a pair of deform ed parafermionic fields. It is shown that the operator product expansi ons 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 --> 1. Our realization coincides with those of Frenkel-Jing and Bernard when the level k takes the values 1 and 2, re spectively.