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Lie algebraic deformations of Minkowski space with Poincare algebra

Mathematical Physics 2009-09-11 v1 High Energy Physics - Theory math.MP

Abstract

We present Lie-algebraic deformations of Minkowski space with undeformed Poincar\'{e} algebra. These deformations interpolate between Snyder and κ\kappa-Minkowski space. We find realizations of noncommutative coordinates in terms of commutative coordinates and derivatives. Invariants and tensors with respect to Lorentz algebra are discussed. A general mapping from κ\kappa-deformed Snyder to Snyder space is constructed. Deformed Leibniz rule, the coproduct structure and star product are found. Special cases, particularly Snyder and κ\kappa-Minkowski in Maggiore-type realizations are discussed.

Keywords

Cite

@article{arxiv.0909.1706,
  title  = {Lie algebraic deformations of Minkowski space with Poincare algebra},
  author = {S. Meljanac and D. Meljanac and A. Samsarov and M. Stojic},
  journal= {arXiv preprint arXiv:0909.1706},
  year   = {2009}
}

Comments

21 pages, no figures, Latex