ANYONIC REALIZATION OF THE QUANTUM AFFINE LIE-ALGEBRAS

Authors
FRAPPAT L SORBA P SCIARRINO A SCIUTO S
Citation
L. Frappat et al., ANYONIC REALIZATION OF THE QUANTUM AFFINE LIE-ALGEBRAS, Czechoslovak journal of Physics, 47(1), 1997, pp. 5-12
Citations number
8
Categorie Soggetti
Physics
Journal title
Czechoslovak journal of Physics → ACNP
ISSN journal
00114626
Volume
47
Issue
1
Year of publication
1997
Pages
5 - 12
Database
ISI
SICI code
0011-4626(1997)47:1<5:AROTQA>2.0.ZU;2-N
Abstract
We give a realization of the quantum affine Lie algebras U-q((A) over cap(N-1)) and U-q((C) over cap(N)) in terms of anyons defined on a one -dimensional chain (or on a two-dimensional lattice), the deformation parameter q being related to the statistical parameter nu of the anyon s by q = e(i pi nu). In the limit of the deformation parameter going t o one we recover the Feingold-Frenkel [1] fermionic construction of un deformed affine Lie algebras.