Canonical and Lie-algebraic twist deformations of Galilei algebra

Details Canonical and Lie-algebraic twist deformations of Galilei algebra Canonical and Lie-algebraic twist deformations of Galilei algebra

2008-01-08

arxiv.org/abs/0801.1206v2

Mod.Phys.Lett.A23:505-517,2008

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, no figures, v2: the page numbers for all references in preprint version are provided; one reference is added (as in

Scientific paper

10.1142/S0217732308026479

We describe various nonrelativistic contractions of two classes of twisted Poincare algebra: canonical one ($\theta_{\mu\nu}$-deformation) and the one leading to Lie-algebraic models of noncommutative space-times. The cases of contraction-independent and contraction-dependent twist parameters are considered. We obtain five models of noncommutative nonrelativistic space-times, in particular, two new Lie-algebraic nonrelativistic deformations of space-time, respectively, with quantum time/classical space and with quantum space/classical time.

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