Canonical and Lie-algebraic twist deformations of Galilei algebra
Abstract
Description
We describe various nonrelativistic contractions of two classes of twisted Poincare algebra: canonical one ($θ_{μν}$-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.
14 pages, no figures, v2: the page numbers for all references in preprint version are provided; one reference is added (as in journal version)
14 pages, no figures, v2: the page numbers for all references in preprint version are provided; one reference is added (as in journal version)