2004/06/18 by J. Lukierski, Lukierski, J., V. D. Lyakhovsky +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0406155
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
arxiv created 2005/06/08 · arxiv updated 2009/12/01
We consider the extensions of classical r-matrix for κ-deformed Poincaré algebra which satisfy modified Yang-Baxter equation. Two examples introducing additional deformation parameter (dimensionfull (1)/(\widetildeκ) or dimensionless ξ) are presented. We describe the corresponding quantization (two-parameter κ-Poincaré quantum Hopf algebras) in explicite form as obtained by twisting of standard κ-deformed framework. In the second example quantum twist function depends on nonclassical generators, with κ-deformed coproduct. Finally we mention also the ``soft'' twists with carrier in fourmomenta sector.