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Kappa-deformed Snyder spacetime

2009/12/27 by S. Meljanac, D. Meljanac, A. Samsarov +1 · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1142/s0217732310032652

published as Mod.Phys.Lett.A25:579-590,2010 · 12 pages, no figures, LaTeX2e class file, accepted for publication in Modern Physics Letters A

arxiv created 2009/12/27 · arxiv updated 2010/04/30

Abstract

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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