ar X iv : h ep - t h / 04 06 15 5 v 1 1 8 Ju n 20 04 Two - parameter extensions of the κ - Poincaré quantum deformation
نویسندگان
چکیده
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 (dimension-full 1 κ 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.
منابع مشابه
ar X iv : h ep - t h / 04 06 15 5 v 3 8 J un 2 00 5 Two - parameter extensions of the κ - Poincaré quantum deformation
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 (dimension-full 1 κ 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 f...
متن کاملar X iv : h ep - t h / 04 06 15 5 v 2 9 D ec 2 00 4 Two - parameter extensions of the κ - Poincaré quantum deformation
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 (dimension-full 1 κ 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 f...
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