Unification of kappa-Minkowski and extended Snyder spaces

Meljanac, Stjepan; Mignemi, Salvatore (2021) Unification of kappa-Minkowski and extended Snyder spaces. Physics letters. B, 814 . ISSN 0370-2693

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Abstract

In a recent paper, we have studied associative realizations of the noncommutative extended Snyder model, obtained by including the Lorentz generators (tensorial coordinates) and their conjugated momenta. In this paper, we extend this result to also incorporate a covariant realization of the kappa-Poincare spacetime. We obtain the coproduct, the associative star product and the twist in a Weyl-ordered realization, to first order in the noncommutativity parameters. This could help the construction of a quantum field theory based on this geometry.

Item Type:	Article
Uncontrolled Keywords:	Snyder spacetime ; realization ; star product ; Hopf algebra ; twist
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Depositing User:	Stjepan Meljanac
Date Deposited:	01 Feb 2022 14:02
URI:	http://fulir.irb.hr/id/eprint/6943
DOI:	10.1016/j.physletb.2021.136117

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