Dynamical realization of l-conformal Galilei algebra and oscillators
High Energy Physics - Theory
2015-06-11 v2 Mathematical Physics
math.MP
Abstract
The method of nonlinear realizations is applied to the l-conformal Galilei algebra to construct a dynamical system without higher derivative terms in the equations of motion. A configuration space of the model involves coordinates, which parametrize particles in d spatial dimensions, and a conformal mode, which gives rise to an effective external field. It is shown that trajectories of the system can be mapped into those of a set of decoupled oscillators in d dimensions.
Cite
@article{arxiv.1208.1403,
title = {Dynamical realization of l-conformal Galilei algebra and oscillators},
author = {Anton Galajinsky and Ivan Masterov},
journal= {arXiv preprint arXiv:1208.1403},
year = {2015}
}
Comments
V2: minor text improvements