Dynamical realizations of N=1 l-conformal Galilei superalgebra

TL;DR

This paper constructs dynamical systems invariant under the N=1 supersymmetric l-conformal Galilei algebra, including a higher derivative superparticle and a supersymmetric Pais-Uhlenbeck oscillator, linked by a Niederer-like transformation.

Contribution

It introduces new supersymmetric models invariant under the N=1 l-conformal Galilei algebra, including a superparticle and a Pais-Uhlenbeck oscillator, with a transformation connecting them.

Findings

Constructed a free N=1 superparticle with higher derivative equations

Developed an N=1 supersymmetric Pais-Uhlenbeck oscillator for specific frequencies

Proposed a Niederer-like transformation linking the models

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.