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kappa-Deformed Phase Space, Hopf Algebroid and Twisting

Jurić, Tajron; Kovačević, Domagoj; Meljanac, Stjepan (2014) kappa-Deformed Phase Space, Hopf Algebroid and Twisting. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 10 . 106-1-106-18. ISSN 1815-0659

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Abstract

Hopf algebroid structures on the Weyl algebra (phase space) are presented. We define the coproduct for the Weyl generators from Leibniz rule. The codomain of the coproduct is modified in order to obtain an algebra structure. We use the dual base to construct the target map and antipode. The notion of twist is analyzed for κ-deformed phase space in Hopf algebroid setting. It is outlined how the twist in the Hopf algebroid setting reproduces the full Hopf algebra structure of κ-Poincar´e algebra. Several examples of realizations are worked out in details.

Item Type: Article
Uncontrolled Keywords: noncommutative space; κκ-Minkowski spacetime; Hopf algebroid; κκ-Poincaré algebra; realizations; twist
Subjects: NATURAL SCIENCES
NATURAL SCIENCES > Physics
Divisions: Theoretical Physics Division
Projects:
Project titleProject leaderProject codeProject type
Quantum field theory, noncommutative spaces and symmetries (Kvantna teorija polja, nekomutativni prostori i simetrije)-Stjepan Meljanac098-0000000-2865MZOS
Depositing User: Kristina Ciglar
Date Deposited: 12 Apr 2016 10:54
Last Modified: 12 Apr 2016 10:54
URI: http://fulir.irb.hr/id/eprint/2703
DOI: 10.3842/SIGMA.2014.106

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