Dynamical realizations of N=1 l-conformal Galilei superalgebra

Abstract

Dynamical systems which are invariant under N=1 supersymmetric extension of the l-conformal Galilei algebra are constructed. These include a free N=1 superparticle which is governed by higher derivative equations of motion and an N=1 supersymmetric Pais-Uhlenbeck oscillator for a particular choice of its frequencies. A Niederer-like transformation which links the models is proposed.

12 pages. New material and references added. Published version

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Cited by in corpus (13)

• Hamiltonian formalisms and symmetries of the Pais-Uhlenbeck oscillator
• Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry
• Coset spaces and Einstein manifolds with l-conformal Galilei symmetry
• Minimal realization of $\ell$-conformal Galilei algebra, Pais-Uhlenbeck oscillators and their deformation
• Remark on higher-derivative mechanics with l-conformal Galilei symmetry
• New realizations of N=2 l-conformal Newton-Hooke superalgebra
• N=2 supersymmetric Pais-Uhlenbeck oscillator
• Superfield approach to higher derivative N=1 superconformal mechanics
• Perfect fluid dynamics with conformal Newton-Hooke symmetries
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• Conformal symmetry in damped Pais-Uhlenbeck oscillator
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