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Lie-deformed quantum Minkowski spaces from twists: Hopf-algebraic versus Hopf-algebroid approach

Lukierski, Jerzy; Meljanac, Daniel; Meljanac, Stjepan; Pikutić, Danijel; Woronowicz, Mariusz (2018) Lie-deformed quantum Minkowski spaces from twists: Hopf-algebraic versus Hopf-algebroid approach. Physics Letters B, 777 . pp. 1-7. ISSN 0370-2693

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Abstract

We consider new Abelian twists of Poincare algebra describing nonsymmetric generalization of the ones given in [1], which lead to the class of Lie-deformed quantum Minkowski spaces. We apply corresponding twist quantization in two ways: as generating quantum Poincare–Hopf algebra providing quantum Poincare symmetries, and by considering the quantization which provides Hopf algebroid describing class of quantum relativistic phase spaces with built-in quantum Poincare covariance. If we assume that Lorentz generators are orbital i.e. do not describe spin degrees of freedom, one can embed the considered generalized phase spaces into the ones describing the quantum-deformed Heisenberg algebras.

Item Type: Article
Uncontrolled Keywords: noncommutative space
Subjects: NATURAL SCIENCES > Physics
Divisions: Division of Materials Physics
Theoretical Physics Division
Projects:
Project titleProject leaderProject codeProject type
prema kvantnoj gravitaciji: nekomutativna geometrija, teorija polja i kozmologija-tqgngftcStjepan MeljanacIP-2014-09-9582HRZZ
RBI-T-WINNINGUNSPECIFIEDEK-H2020-692194UNSPECIFIED
Depositing User: Daniel Meljanac
Date Deposited: 19 Jan 2018 08:29
Last Modified: 19 Jan 2018 08:29
URI: http://fulir.irb.hr/id/eprint/3839
DOI: 10.1016/j.physletb.2017.12.007

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