Dynamical realization of l-conformal Galilei algebra and oscillators

Anton Galajinsky, Ivan Victorovich Masterov

Research output: Contribution to journalArticle

37 Citations (Scopus)

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 languageEnglish
Pages (from-to)212-227
Number of pages16
JournalNuclear Physics B
Volume866
Issue number2
DOIs
Publication statusPublished - 11 Jan 2013

Fingerprint

algebra
oscillators
dynamical systems
equations of motion
trajectories
configurations

Keywords

  • Conformal Galilei algebra

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Dynamical realization of l-conformal Galilei algebra and oscillators. / Galajinsky, Anton; Masterov, Ivan Victorovich.

In: Nuclear Physics B, Vol. 866, No. 2, 11.01.2013, p. 212-227.

Research output: Contribution to journalArticle

Galajinsky, Anton ; Masterov, Ivan Victorovich. / Dynamical realization of l-conformal Galilei algebra and oscillators. In: Nuclear Physics B. 2013 ; Vol. 866, No. 2. pp. 212-227.
@article{cc6d85a7f3aa48c7b9753e15dab09e95,
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}",
year = "2013",
month = "1",
day = "11",
doi = "10.1016/j.nuclphysb.2012.09.004",
language = "English",
volume = "866",
pages = "212--227",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",
number = "2",

}

TY - JOUR

T1 - Dynamical realization of l-conformal Galilei algebra and oscillators

AU - Galajinsky, Anton

AU - Masterov, Ivan Victorovich

PY - 2013/1/11

Y1 - 2013/1/11

N2 - 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.

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.

KW - Conformal Galilei algebra

UR - http://www.scopus.com/inward/record.url?scp=84866490653&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84866490653&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysb.2012.09.004

DO - 10.1016/j.nuclphysb.2012.09.004

M3 - Article

VL - 866

SP - 212

EP - 227

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

IS - 2

ER -