ANYONIC REALIZATION OF THE QUANTUM AFFINE LIE-SUPERALGEBRAS U-Q((A)OVER-CAP(M-1,N-1))

Authors
FRAPPAT L SCIARRINO A SCIUTO S SORBA P
Citation
L. Frappat et al., ANYONIC REALIZATION OF THE QUANTUM AFFINE LIE-SUPERALGEBRAS U-Q((A)OVER-CAP(M-1,N-1)), Journal of physics. A, mathematical and general, 30(3), 1997, pp. 903-914
Citations number
15
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
30
Issue
3
Year of publication
1997
Pages
903 - 914
Database
ISI
SICI code
0305-4470(1997)30:3<903:AROTQA>2.0.ZU;2-Y
Abstract
We give a realization of the quantum affine Lie superalgebras U-q((A) over cap(M-1, N-1)) in terms of anyons defined on a one- or two-dimens ional Lattice, the deformation parameter q being related to the statis tical parameter nu of the anyons by q = e(i pi nu). The construction u ses anyons contructed from usual fermionic oscillators and deformed bo sonic oscillators. As a byproduct, a realization that is deformed in a ny sector of the quantum superalgebras U-q(A(M-1, N-1)) is obtained.