2006/10/31 by Peter A. Horvathy, Mikhail S. Plyushchay, Mauricio Valenzuela · 1 citation
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1016/j.nuclphysb.2007.01.021
published as Nucl.Phys.B768:247-262,2007 · 18 pages; new section on noncommutative coordinates and refs added, the version to appear in Nucl. Phys. B
arxiv created 2007/01/26 · arxiv updated 2009/12/01
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.