Realization of supersymmetric sine algebra and quantum superalgebra U-q(sl(2/1))

Authors
Jellal, A
Citation
A. Jellal, Realization of supersymmetric sine algebra and quantum superalgebra U-q(sl(2/1)), MOD PHY L A, 14(32), 1999, pp. 2253-2258
Citations number
20
Categorie Soggetti
Physics
Journal title
MODERN PHYSICS LETTERS A
ISSN journal
02177323 → ACNP
Volume
14
Issue
32
Year of publication
1999
Pages
2253 - 2258
Database
ISI
SICI code
0217-7323(19991020)14:32<2253:ROSSAA>2.0.ZU;2-C
Abstract
We give a realization of the supersymmetric sine algebra (SSSA) in terms of the Lie algebra of infinite matrix gl(infinity, C) supplemented by a fermi onic algebra. Relying on the fact that the quantum superalgebra U-q(sl(2/1) ) can be constructed from SSSA, it is shown that there is a possibility to realize U-q(sl(2/1)).