Bosonized supersymmetry of anyons and supersymmetric exotic particle on the non-commutative plane

Details Bosonized supersymmetry of anyons and supersymmetric exotic particle on the non-commutative plane Bosonized supersymmetry of anyons and supersymmetric exotic particle on the non-commutative plane

2006-10-30

arxiv.org/abs/hep-th/0610317v2

Nucl.Phys.B768:247-262,2007

Physics

High Energy Physics

High Energy Physics - Theory

18 pages; new section on noncommutative coordinates and refs added, the version to appear in Nucl. Phys. B

Scientific paper

10.1016/j.nuclphysb.2007.01.021

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.

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