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Abstract: We present Lie-algebraic deformations of Minkowski space with undeformedPoincare algebra. These deformations interpolate between Snyder andkappa-Minkowski space. We find realizations of noncommutative coordinates interms of commutative coordinates and derivatives. Deformed Leibniz rule, thecoproduct structure and star product are found. Special cases, particularlySnyder and kappa-Minkowski in Maggiore-type realizations are discussed. Ourconstruction leads to a new class of deformed special relativity theories.

Author: S.Meljanac, D.Meljanac, A.Samsarov, M.Stojic

Source: https://arxiv.org/

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