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2012

Dynamical realization of l-conformal Galilei algebra and oscillators

Galajinsky, Anton, Masterov, Ivan

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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.

Dynamical realization of l-conformal Galilei algebra and oscillators · Around

Built on

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.
U. Niederer, Helv. Phys. Acta 46
1973
Earlier work this paper cites.
E.A. Ivanov, V.I. Ogievetsky, Teor. Mat. Fiz. 25
1975
Earlier work this paper cites.
V. de Alfaro, S. Fubini, G. Furlan, Nuovo Cim. A 34
1976
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.
P. A. Horváthy, Int. J. Mod. Phys. A 3
Original
1993
Earlier work this paper cites.
M. Henkel, J. Stat. Phys. 75
1994
Earlier work this paper cites.

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