Twist deformations leading to κ-Poincaré Hopf algebra and their application to physics

23rd International Conference on Integrable Systems and Quantum Symmetries

Juri, Tajron^1 ; Meljanac, Stjepan^1 ; Samsarov, Andjelo^2

Rudjer Bokovi Institute, Theoretical Physics Division, Bijenika c.54, Zagreb

HR-10002, Croatia^1

Dipartimento di Matematica e Informatica, Universita di Cagliari, viale Merello 92, Cagliari

09123, Italy^2

关键词: Hopf algebras;    Physical application;    Scalar field models;    Scalar field theory;    Star products;    Symmetry groups;    Twist deformations;    Twist operators;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/670/1/012027/pdf
DOI  :  10.1088/1742-6596/670/1/012027

来源: IOP

【 摘 要 】

We consider two twist operators that lead to kappa-Poincaré Hopf algebra, the first being an Abelian one and the second corresponding to a light-like kappa-deformation of Poincaré algebra. The adventage of the second one is that it is expressed solely in terms of Poincaré generators. In contrast to this, the Abelian twist goes out of the boundaries of Poincaré algebra and runs into envelope of the general linear algebra. Some of the physical applications of these two different twist operators are considered. In particular, we use the Abelian twist to construct the statistics flip operator compatible with the action of deformed symmetry group. Furthermore, we use the light-like twist operator to define a star product and subsequently to formulate a free scalar field theory compatible with kappa-Poincaré Hopf algebra and appropriate for considering the interacting φ4scalar field model on kappa-deformed space.