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

Autor: Jerzy Lukierski, Daniel Meljanac, Stjepan Meljanac, Danijel Pikutić, Mariusz Woronowicz
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Physics Letters B, Vol 777, Iss , Pp 1-7 (2018)
Druh dokumentu: article
ISSN: 0370-2693
DOI: 10.1016/j.physletb.2017.12.007
Popis: 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.
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