FREE BOSON REALIZATION OF UQ(SLN)OVER-CAP

Authors
AWATA H ODAKE S SHIRAISHI J
Citation
H. Awata et al., FREE BOSON REALIZATION OF UQ(SLN)OVER-CAP, Communications in Mathematical Physics, 162(1), 1994, pp. 61-83
Citations number
44
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Communications in Mathematical Physics → ACNP
ISSN journal
00103616
Volume
162
Issue
1
Year of publication
1994
Pages
61 - 83
Database
ISI
SICI code
0010-3616(1994)162:1<61:FBROU>2.0.ZU;2-U
Abstract
We construct a realization of the quantum affine algebra U(q)(sl(N)) o f an arbitrary level k in terms of free boson fields. In the q --> 1 l imit this realization becomes the Wakimoto realization of sl(N). The s creening currents and the vertex operators (primary fields) are also c onstructed; the former commutes with U(q)(sl(N)) modulo total differen ce, and the latter creates the U(q)(sl(N)) highest weight state from t he vacuum state of the boson Fock space.