Abstract
The method of nonlinear realizations and the technique previously developed in [A. Galajinsky, I. Masterov, Nucl. Phys. B 866 (2013) 212, arXiv:1208.1403] are used to construct a dynamical system without higher derivative terms, which holds invariant under the l-conformal Newton-Hooke group. A configuration space of the model involves coordinates, which parametrize a particle moving in d spatial dimensions and a conformal mode, which gives rise to an effective external field. The dynamical system describes a generalized multi-dimensional oscillator, which undergoes accelerated/decelerated motion in an ellipse in accord with evolution of the conformal mode. Higher derivative formulations are discussed as well. It is demonstrated that the multi-dimensional Pais-Uhlenbeck oscillator enjoys the l=32-conformal Newton-Hooke symmetry for a particular choice of its frequencies.
| Original language | English |
|---|---|
| Pages (from-to) | 190-195 |
| Number of pages | 6 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 723 |
| Issue number | 1-3 |
| DOIs | |
| Publication status | Published - 10 Jun 2013 |
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Keywords
- Conformal Newton-Hooke algebra
- Dynamical realizations
- Pais-Uhlenbeck oscillator
ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Dynamical realizations of l-conformal Newton-Hooke group. / Galajinsky, Anton; Masterov, Ivan Victorovich.
In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 723, No. 1-3, 10.06.2013, p. 190-195.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Dynamical realizations of l-conformal Newton-Hooke group
AU - Galajinsky, Anton
AU - Masterov, Ivan Victorovich
PY - 2013/6/10
Y1 - 2013/6/10
N2 - The method of nonlinear realizations and the technique previously developed in [A. Galajinsky, I. Masterov, Nucl. Phys. B 866 (2013) 212, arXiv:1208.1403] are used to construct a dynamical system without higher derivative terms, which holds invariant under the l-conformal Newton-Hooke group. A configuration space of the model involves coordinates, which parametrize a particle moving in d spatial dimensions and a conformal mode, which gives rise to an effective external field. The dynamical system describes a generalized multi-dimensional oscillator, which undergoes accelerated/decelerated motion in an ellipse in accord with evolution of the conformal mode. Higher derivative formulations are discussed as well. It is demonstrated that the multi-dimensional Pais-Uhlenbeck oscillator enjoys the l=32-conformal Newton-Hooke symmetry for a particular choice of its frequencies.
AB - The method of nonlinear realizations and the technique previously developed in [A. Galajinsky, I. Masterov, Nucl. Phys. B 866 (2013) 212, arXiv:1208.1403] are used to construct a dynamical system without higher derivative terms, which holds invariant under the l-conformal Newton-Hooke group. A configuration space of the model involves coordinates, which parametrize a particle moving in d spatial dimensions and a conformal mode, which gives rise to an effective external field. The dynamical system describes a generalized multi-dimensional oscillator, which undergoes accelerated/decelerated motion in an ellipse in accord with evolution of the conformal mode. Higher derivative formulations are discussed as well. It is demonstrated that the multi-dimensional Pais-Uhlenbeck oscillator enjoys the l=32-conformal Newton-Hooke symmetry for a particular choice of its frequencies.
KW - Conformal Newton-Hooke algebra
KW - Dynamical realizations
KW - Pais-Uhlenbeck oscillator
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U2 - 10.1016/j.physletb.2013.04.054
DO - 10.1016/j.physletb.2013.04.054
M3 - Article
VL - 723
SP - 190
EP - 195
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
SN - 0370-2693
IS - 1-3
ER -