Remark on higher-derivative mechanics with l-conformal Galilei symmetry

Abstract

Based on the results in [Nucl. Phys. B 866 (2013) 212], we consider a way to construct a higher-derivative mechanical model which possesses the $l$-conformal Galilei symmetry. The dynamical system describes generalized Pais-Uhlenbeck oscillator in the presence of an effective external field.

V1: 1+10 pages; V2: 1+10 pages, typos corrected, clarifying remarks included into Section 2, acknowledgements added; the version published in JMP

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• Non-local meta-conformal invariance, diffusion-limited erosion and the XXZ chain
• Minimal realization of $\ell$-conformal Galilei algebra, Pais-Uhlenbeck oscillators and their deformation
• Hamiltonian formulation for perfect fluid equations with the l-conformal Galilei symmetry
• Superfield approach to higher derivative N=1 superconformal mechanics
• Casimir operators of centrally extended l-conformal Galilei algebra
• Aspects of infinite dimensional $\ell$-super Galilean conformal algebra