Two-parameter extensions of the \kappa-Poincar\'{e} quantum deformation
Abstract
We consider the extensions of classical r-matrix for \kappa-deformed Poincar\'{e} algebra which satisfy modified Yang-Baxter equation. Two examples introducing additional deformation parameter (dimensionfull \frac{1}{\widetilde{\kappa}} or dimensionless \xi) are presented. We describe the corresponding quantization (two-parameter \kappa-Poincar\'{e} quantum Hopf algebras) in explicite form as obtained by twisting of standard \kappa-deformed framework. In the second example quantum twist function depends on nonclassical generators, with \kappa-deformed coproduct. Finally we mention also the ``soft'' twists with carrier in fourmomenta sector.
Cite
@article{arxiv.hep-th/0406155,
title = {Two-parameter extensions of the \kappa-Poincar\'{e} quantum deformation},
author = {J. Lukierski and V. D. Lyakhovsky},
journal= {arXiv preprint arXiv:hep-th/0406155},
year = {2007}
}
Comments
LaTeX, 11pages. Version in print in Proceedings of the Conference "Non-Commutative Geometry and Representation Theory in Mathematical Physics", Karlstad, 5.07-9.07.2004, Proceedings Serie of Contemporary Mathematics(2005); Formula (2.5) corrected