research10.1016/j.physletb.2008.05.005

Enlarged NH symmetries: Particle Dynamics and Gauge Symmetries

Abstract

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.Comment: 13 pages, Late

Similar works

Full text

arXiv.org e-Print ArchiveProvided a free PDF (195.62 KB)

0803.3965oai:arXiv.org:0803.3965
Last time updated on April 13, 2012View original full text link

This paper was published in arXiv.org e-Print Archive.

Having an issue?

Is data on this page outdated, violates copyrights or anything else? Report the problem now and we will take corresponding actions after reviewing your request.