Dynamical realization of l-conformal Galilei algebra and oscillators

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.

Original language	English
Pages (from-to)	212-227
Number of pages	16
Journal	Nuclear Physics B
Volume	866
Issue number	2
DOIs	https://doi.org/10.1016/j.nuclphysb.2012.09.004
Publication status	Published - 11 Jan 2013

Keywords

Conformal Galilei algebra

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/j.nuclphysb.2012.09.004

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title = "Dynamical realization of l-conformal Galilei algebra and oscillators",

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.",

keywords = "Conformal Galilei algebra",

author = "Anton Galajinsky and Masterov, {Ivan Victorovich}",

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AB - 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.

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