Canonical and Lie-algebraic twist deformations of Galilei algebra

Research paper by Marcin Daszkiewicz

Indexed on: 27 Jan '09Published on: 27 Jan '09Published in: High Energy Physics - Theory


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.