Snyder-type space-times, twisted Poincaré algebra and addition of momenta

Meljanac, S.;Meljanac, D.;Mignemi, S.;Å trajn, R.

2017-01-01

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Abstract

We discuss a generalization of the Snyder model compatible with undeformed Lorentz symmetries, which we describe in terms of a large class of deformations of the Heisenberg algebra. The corresponding deformed addition of momenta, the twist and the R-matrix are calculated to first order in the deformation parameters for all models. In the particular case of the Snyder realization, an analytic formula for the twist is obtained.