Twist deformations leading to κ-Poincaré Hopf algebra and their application to physics (CROSBI ID 224960)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Jurić, Tajron ; Meljanac, Stjepan ; Samsarov, Anđelo
engleski
Twist deformations leading to κ-Poincaré Hopf algebra and their application to physics
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 phi^4 scalar field model on kappa-deformed space.
noncommutative space ; hopf algebra ; twist
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Podaci o izdanju
670
2016.
012027
11
objavljeno
1742-6588
1742-6596
10.1088/1742-6596/670/1/012027