Kappa-deformed Snyder spacetime

Details Kappa-deformed Snyder spacetime Kappa-deformed Snyder spacetime

2009-12-27

arxiv.org/abs/0912.5087v1

Mod.Phys.Lett.A25:579-590,2010

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, no figures, LaTeX2e class file, accepted for publication in Modern Physics Letters A

Scientific paper

10.1142/S0217732310032652

We present Lie-algebraic deformations of Minkowski space with undeformed Poincare algebra. These deformations interpolate between Snyder and kappa-Minkowski space. We find realizations of noncommutative coordinates in terms of commutative coordinates and derivatives. Deformed Leibniz rule, the coproduct structure and star product are found. Special cases, particularly Snyder and kappa-Minkowski in Maggiore-type realizations are discussed. Our construction leads to a new class of deformed special relativity theories.

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