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

TL;DR

This paper constructs and analyzes supersymmetric models of higher-derivative particles invariant under N=2 l-conformal Galilei superalgebra, including their Newton-Hooke counterparts, expanding the understanding of supersymmetric higher-derivative mechanics.

Contribution

It introduces two new supersymmetric extensions of free higher-derivative particles invariant under N=2 l-conformal Galilei superalgebra and derives their Newton-Hooke counterparts.

Findings

Constructed two supersymmetric models of higher-derivative particles.

Derived Newton-Hooke counterparts via coordinate transformations.

Extended the framework of supersymmetric higher-derivative mechanics.

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.