Acceleration-extended Galilean symmetries with central charges and their dynamical realizations

DOI10.1016/J.PHYSLETB.2007.04.058zbMATH Open1248.81069arXivhep-th/0702179OpenAlexW2082336090WikidataQ62579668 ScholiaQ62579668MaRDI QIDQ713522

Author name not available (Why is that?)

Publication date: 18 October 2012

Published in: (Search for Journal in Brave)

Abstract: We add to Galilean symmetries the transformations describing constant accelerations. The corresponding extended Galilean algebra allows, in any dimension $D=d+1$, the introduction of one central charge $c$ while in $D=2+1$ we can have three such charges: c, heta and heta'. We present nonrelativistic classical mechanics models, with higher order time derivatives and show that they give dynamical realizations of our algebras. The presence of central charge $c$ requires the acceleration square Lagrangian term. We show that the general Lagrangian with three central charges can be reinterpreted as describing an exotic planar particle coupled to a dynamical electric and a constant magnetic field.

Full work available at URL: https://arxiv.org/abs/hep-th/0702179

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: Acceleration-extended Galilean symmetries with central charges and their dynamical realizations

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q713522)