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Two-parameter extensions of the κ-Poincaré quantum deformation

J. Lukierski·V. D. Lyakhovsky
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Abstract

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 \frac{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.

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J. Lukierski, V. D. Lyakhovsky. 2005-06-08. Two-parameter extensions of the κ-Poincaré quantum deformation. https://arxiv.org/abs/hep-th/0406155

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