2015/11/17 by Tajron Jurić, Stjepan Meljanac, Andjelo Samsarov · 2 citations
Mathematics · Physics and Astronomy · #Abelian group #Algebra over a field #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Hopf algebra #Noncommutative and Quantum Gravity Theories #Operator (biology) #Operator algebra #Poincaré conjecture #Scalar (mathematics) #Twist #hep-th
paper · pdf · open access · doi:10.1088/1742-6596/670/1/012027
published in Journal of Physics Conference Series 670, 012027 (IOP Publishing) · 12 pages; LaTex, based on the talk presented by A.Samsarov at the XXIII ISQS Conference on Integrable Systems and Quantum Symmetries; the financial support from the Marie Curie FP7-PEOPLE-2011-COFUND, project NEWFELPRO acknowledged; to appear in J.Phys.Conf.Ser
arxiv created 2015/11/17 · openalex publication_date 2016/01/25 · arxiv updated 2016/02/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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 ϕ 4 scalar field model on kappa-deformed space.