The Gervais-Neveu-Felder equation for the Jordanian quasi-Hopf U-h;y(sl(2)) algebra

Citation
A. Chakrabarti et R. Chakrabarti, The Gervais-Neveu-Felder equation for the Jordanian quasi-Hopf U-h;y(sl(2)) algebra, J PHYS A, 33(25), 2000, pp. 4611-4617
Citations number
20
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
25
Year of publication
2000
Pages
4611 - 4617
Database
ISI
SICI code
0305-4470(20000630)33:25<4611:TGEFTJ>2.0.ZU;2-2
Abstract
Using a contraction procedure, we construct a twist operator that satisfies a shifted cocycle condition, and leads to the Jordanian quasi-Hopf U-h;y(s l(2)) algebra. The corresponding niversal R-h(y) matrix obeys a Gervais-Nev eu-Felder equation associated with the U-h;y(sl(2)) algebra. For a class of representations, the dynamical Yang-Baxter equation may be expressed as a compatibility condition for the algebra of the Lax operators.