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arXiv · 0909.1706

Lie algebraic deformations of Minkowski space with Poincare algebra

S. Meljanac·D. Meljanac·A. Samsarov·M. Stojic
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Abstract

We present Lie-algebraic deformations of Minkowski space with undeformed Poincaré algebra. These deformations interpolate between Snyder and $κ$-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 $κ$-deformed Snyder to Snyder space is constructed. Deformed Leibniz rule, the coproduct structure and star product are found. Special cases, particularly Snyder and $κ$-Minkowski in Maggiore-type realizations are discussed.

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S. Meljanac, D. Meljanac, A. Samsarov, M. Stojic. 2009-09-09. Lie algebraic deformations of Minkowski space with Poincare algebra. https://arxiv.org/abs/0909.1706

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