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• W2009157049 abstract "We apply the nonlinear realizations method for constructing new Galilean conformal mechanics models. Our starting point is the Galilean conformal algebra which is a non-relativistic 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 non-vanishing space dimensions." @default.
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• W2009157049 date "2011-04-12" @default.
• W2009157049 modified "2023-09-26" @default.
• W2009157049 title "Galilean conformal mechanics from nonlinear realizations" @default.
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• W2009157049 doi "https://doi.org/10.1103/physrevd.83.085013" @default.
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