N=2 supersymmetric extension of l-conformal Galilei algebra

TL;DR

This paper constructs an N=2 supersymmetric extension of the l-conformal Galilei algebra, explores its representations in different spacetimes, and introduces an infinite-dimensional generalization.

Contribution

It introduces a new N=2 supersymmetric extension of the l-conformal Galilei algebra and discusses its representations and an infinite-dimensional generalization.

Findings

Constructed N=2 supersymmetric extension of the algebra

Analyzed relations between representations in different spacetimes

Presented an infinite-dimensional generalization

Abstract

N=2 supersymmetric extension of the l-conformal Galilei algebra is constructed. A relation between its representations in flat spacetime and in Newton-Hooke spacetime is discussed. An infinite-dimensional generalization of the superalgebra is given.