On dynamical realizations of l-conformal Galilei groups

TL;DR

This paper explores the dynamics invariant under l-conformal Galilei groups, demonstrating how to decouple equations of motion through nonlinear realizations and constructing associated Lagrangian and Hamiltonian formulations.

Contribution

It introduces a method to fully decouple equations of motion for systems invariant under l-conformal Galilei groups using nonlinear realizations.

Findings

Complete decoupling of equations of motion achieved

Lagrangian and Hamiltonian formulations constructed

Results compared with prior work by Galajinsky and Masterov

Abstract

We consider the dynamics invariant under the action of l-conformal Galilei group using the method of nonlinear realizations. We find that by an appropriate choice of the coset space parametrization one can achieve the complete decoupling of the equations of motion. The Lagrangian and Hamiltonian are constructed. The results are compared with those obtained by Galajinsky and Masterov [Nucl. Phys. B860, (2013), 212].