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 | |
| Publication status | Published - 11 Jan 2013 |
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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 journal › Article
}
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 -