Abstract

A covariant set of linear differential field equations, describing an N = 1 supersymmetric anyon system in (2 + 1)D, is proposed in terms of Wigner's deformation of the bosonic Heisenberg algebra. The non-relativistic "Jackiw-Nair" limit extracts the ordinary bosonic and fermionic degrees of freedom from the Heisenberg-Wigner algebra. It yields first-order, non-relativistic wave equations for a spinning particle on the non-commutative plane that admits a Galilean exotic planar N = 1 supersymmetry. © 2007 Elsevier B.V. All rights reserved.