Enlarged NH symmetries: Particle Dynamics and Gauge Symmetries

Details Enlarged NH symmetries: Particle Dynamics and Gauge Symmetries Enlarged NH symmetries: Particle Dynamics and Gauge Symmetries

2008-03-27

arxiv.org/abs/0803.3965v1

Phys.Lett.B664:107-111,2008

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Latex

Scientific paper

10.1016/j.physletb.2008.05.005

We show how the Newton-Hooke (NH) symmetries, representing a nonrelativistic version of de-Sitter symmetries, can be enlarged by a pair of translation vectors describing in Galilean limit the class of accelerations linear in time. We study the Cartan-Maurer one-forms corresponding to such enlarged NH symmetry group and by using cohomological methods we determine the general 2-parameter (in D=2+1 4-parameter)central extension of the corresponding Lie algebra. We derive by using nonlinear realizations method the most general group - invariant particle dynamics depending on two (in D=2+1 on four) central charges occurring as the Lagrangean parameters. Due to the presence of gauge invariances we show that for the enlarged NH symmetries quasicovariant dynamics reduces to the one following from standard NH symmetries, with one central charge in arbitrary dimension D and with second exotic central charge in D=2+1.

Affiliated with

Also associated with

No associations

Rating

Enlarged NH symmetries: Particle Dynamics and Gauge Symmetries does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Enlarged NH symmetries: Particle Dynamics and Gauge Symmetries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Enlarged NH symmetries: Particle Dynamics and Gauge Symmetries will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-354325