Galilean conformal mechanics from nonlinear realizations
- Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow region (Russian Federation)
- Institute for Theoretical Physics, University of Wroclaw, plac Maxa Borna 9, 50-204 Wroclaw (Poland)
We apply the nonlinear realizations method for constructing new Galilean conformal mechanics models. Our starting point is the Galilean conformal algebra which is a nonrelativistic contraction of its relativistic counterpart. We calculate Maurer-Cartan one-forms, examine various choices of the relevant coset spaces, and consider the geometric inverse Higgs-type constraints which reduce the number of the independent coset parameters and, in some cases, provide dynamical equations. New Galilean conformally invariant actions are derived in arbitrary space-time dimension D=d+1 (no central charges), as well as in the special dimension D=2+1 with one exotic central charge. We obtain new classical mechanics models which extend the standard (D=0+1) conformal mechanics in the presence of d nonvanishing space dimensions.
- OSTI ID:
- 21541533
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 83, Issue 8; Other Information: DOI: 10.1103/PhysRevD.83.085013; (c) 2011 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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