Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry

Abstract

The analysis previously developed in [J. Math. Phys. 55 (2014) 102901] is used to construct systems which hold invariant under N=2 l-conformal Galilei superalgebra. The models describe two different supersymmetric extensions of a free higher-derivative particle. Their Newton-Hooke counterparts are derived by applying appropriate coordinate transformations.

14 pages, published version with minor changes

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Cited by in corpus (8)

• On dynamical realizations of l-conformal Galilei and Newton-Hooke algebras
• Coset spaces and Einstein manifolds with l-conformal Galilei symmetry
• Addendum to "Super-GCA from $\mathcal{N}=(2,2)$ super-Virasoro": Super-GCA connection with tensionless strings
• N=2 supersymmetric Pais-Uhlenbeck oscillator
• New realizations of N=2 l-conformal Newton-Hooke superalgebra
• Superfield approach to higher derivative N=1 superconformal mechanics
• N=1,2,3 l-conformal Galilei superalgebras
• N=2 supersymmetric odd-order Pais-Uhlenbeck oscillator