Fetching the paper…

Reading the bibliography…

2013

Dynamical realizations of l-conformal Newton-Hooke group

Galajinsky, Anton, Masterov, Ivan

Original
PDF
Post on X

Understand

The method of nonlinear realizations and the technique previously developed in 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=3/2-conformal Newton-Hooke symmetry for a particular choice of its frequencies.

Dynamical realizations of l-conformal Newton-Hooke group · Around

Built on

A. Pais, G.E. Uhlenbeck, Phys. Rev. 79
1950
Earlier work this paper cites.
H. Bacry, J.M. Lévy–Leblond, J. Math. Phys. 9
1968
Earlier work this paper cites.
S.R. Coleman, J. Wess, B. Zumino, Phys. Rev. 177
1969
Earlier work this paper cites.
C.G. Callan, S.R. Coleman, J. Wess, B. Zumino, Phys. Rev. 177
1969
Earlier work this paper cites.
E.A. Ivanov, V.I. Ogievetsky, Teor. Mat. Fiz. 25
1975
Earlier work this paper cites.
P. Havas, J. Plebanski, J. Math. Phys. 19
1978
Earlier work this paper cites.
E.A. Ivanov, S.O. Krivonos, V.M. Leviant, J. Phys. A 22
1989
Earlier work this paper cites.
J. Negro, M.A. del Olmo, A. Rodriguez-Marco, J. Math. Phys. 38
1997
Earlier work this paper cites.

Similar

J. Negro, M.A. del Olmo, A. Rodriguez-Marco, J. Math. Phys. 38
1997
Cited alongside, same era.
G.W. Gibbons, C.E. Patricot, Class. Quant. Grav. 20
2003
Cited alongside, same era.
J. Lukierski, P.C. Stichel, W.J. Zakrzewski, Phys. Lett. A 357
2006
Cited alongside, same era.
F.L. Liu, Y. Tian, Phys. Lett. A 372
Original
2008
Cited alongside, same era.
A. Galajinsky, I. Masterov, Phys. Lett. B 675
Original
2009
Cited alongside, same era.
A. Galajinsky, Phys. Lett. B 680
Original
2009

Then

C. Duval, P. Horváthy, J. Phys. A 44
Original
2011
Later among the works it cites.
S. Fedoruk, E. Ivanov, J. Lukierski, Phys. Rev. D 83
Original
2011
Later among the works it cites.
A. Galajinsky, I. Masterov, Phys. Lett. B 702
Original
2011
Later among the works it cites.
J. Gomis, K. Kamimura, Phys. Rev. D 85
Original
2012
Later among the works it cites.
K. Andrzejewski, J. Gonera, P. Maslanka, Phys. Rev. D 86
Original
2012
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

A. Galajinsky, Nucl. Phys. B 832

2010

Cited alongside, same era.

Y. Gao, Symmetries, matrices, and de Sitter gravity

Cited in the paper.

G. Papadopoulos, New potentials for conformal mechanics

Cited in the paper.

I. Masterov, J. Math. Phys. 53

2012

Later among the works it cites.

A. Galajinsky, I. Masterov, Nucl. Phys. B 866

2013

Closest in time.