On Quantum Deformations of D=4 Conformal Algebra
Mathematical Physics
2009-10-31 v1 math.MP
Quantum Algebra
Abstract
Three classes of classical r-matrices for sl(4,C) algebra are constructed in quasi-Frobenius algebra approach. They satisfy CYBE and are spanned respectively on 8,10,12 generators. The o(4,2) reality condition can be imposed only on the eight dimensional r matrices with dimension-full deformation parameters. Contrary to the Poincare algebra case, it appears that all deformations with a mass-like deformation parameter (kappa- deformations) are described by classical r-matrices satisfying CYBE.
Cite
@article{arxiv.math-ph/9807036,
title = {On Quantum Deformations of D=4 Conformal Algebra},
author = {A. Frydryszak and J. Lukierski and P. Minnaert and M. Mozrzymas},
journal= {arXiv preprint arXiv:math-ph/9807036},
year = {2009}
}
Comments
Plain LaTeX 2.09. No figures. 8 pages. To appear in the proceedings of the 7th Colloquium on Quantum Groups and Integrable Systems (Prague, June 18-20, 1998)