On dynamical realizations of l-conformal Galilei groups

Abstract

We consider the dynamics invariant under the action of l-conformal Galilei group using the method of nonlinear realizations. We find that by an appropriate choice of the coset space parametrization one can achieve the complete decoupling of the equations of motion. The Lagrangian and Hamiltonian are constructed. The results are compared with those obtained by Galajinsky and Masterov [Nucl. Phys. B860, (2013), 212].

arXiv comment16 pages, no figures; substantial improvements of the text; several typos corrected; accepted for publication in Nucl. Phys. B

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• The odd-order Pais-Uhlenbeck oscillator
• Nonlinear symmetries of perfectly invisible $PT$-regularized conformal and superconformal mechanics systems
• Equations of fluid dynamics with the l-conformal Galilei symmetry
• Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry
• Symmetries of the Schrödinger Equation and Algebra/Superalgebra Duality
• Coset spaces and Einstein manifolds with l-conformal Galilei symmetry
• Remark on higher-derivative mechanics with l-conformal Galilei symmetry
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• Nonlinear supersymmetry as a hidden symmetry
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• Remarks on higher Schwarzians
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• Casimir operators of centrally extended l-conformal Galilei algebra
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