Unification of $\kappa$-Minkowski and extended Snyder spaces
High Energy Physics - Theory
2021-02-24 v1
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 -Poincar\'e 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.
Keywords
Cite
@article{arxiv.2101.05275,
title = {Unification of $\kappa$-Minkowski and extended Snyder spaces},
author = {S. Meljanac and S. Mignemi},
journal= {arXiv preprint arXiv:2101.05275},
year = {2021}
}
Comments
8 pages