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Research PapersNo Access

κ-DEFORMED SNYDER SPACETIME

Rudjer Bošković Institute, Bijenička c.54, HR-10002 Zagreb, Croatia

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Rudjer Bošković Institute, Bijenička c.54, HR-10002 Zagreb, Croatia

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Rudjer Bošković Institute, Bijenička c.54, HR-10002 Zagreb, Croatia

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Rudjer Bošković Institute, Bijenička c.54, HR-10002 Zagreb, Croatia

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https://doi.org/10.1142/S0217732310032652Cited by:30 (Source: Crossref)

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. Deformed Leibniz rule, the coproduct structure and star product are found. Special cases, particularly Snyder and κ-Minkowski in Maggiore-type realizations are discussed. Our construction leads to a new class of deformed special relativity theories.

Keywords:

PACS: 03.65.Fd, 11.10.Nx, 11.30.Cp

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Vol. 25, No. 08

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Received 27 November 2009

Keywords