Non relativistic SUSY in variants of the planar Lévy-Leblond equation

Abstract

An N=2 SUSY extension of the Schrödinger symmetry is shown to exist in the solution space of the free planar Lévy-Leblond equation, an N=1 part of which survives for the gauged version of the equation and also when it is coupled to Chern-Simons theory.

arXiv comment14 pages

References in corpus (2)

• ${\mathbb{Z}}_2\times {\mathbb{Z}}_2$ generalizations of $\mathcal{N}=2$ super Schrödinger algebras and their representations
• Non-relativistic supersymmetry