Realizations and star-product of doubly κ-deformed Yang models

Martinić-Bilać, T.; Meljanac, S.; Mignemi, S. (2024) Realizations and star-product of doubly κ-deformed Yang models. The European Physical Journal C, 84 (8). ISSN 1434-6052

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Abstract

The Yang algebra was proposed a long time ago as a generalization of the Snyder algebra to the case of curved background spacetime. It includes as subalgebras both the Snyder and the de Sitter algebras and can therefore be viewed as a model of noncommutative curved spacetime. A peculiarity with respect to standard models of noncommutative geometry is that it includes translation and Lorentz generators, so that the definition of a Hopf algebra and the physical interpretation of the variables conjugated to the primary ones is not trivial. In this paper we consider the realizations of the Yang algebra and its κ-deformed generalization on an extended phase space and in this way we are able to define a Hopf structure and a twist.

Item Type:	Article
Uncontrolled Keywords:	Generalized Yang models; Weyl realizations; coproduct
Subjects:	NATURAL SCIENCES > Physics
Divisions:	Theoretical Physics Division
Depositing User:	Ivana Vuglec
Date Deposited:	11 Dec 2025 13:53
URI:	http://fulir.irb.hr/id/eprint/10157
DOI:	10.1140/epjc/s10052-024-13200-y

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