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arXiv · hep-th/0610317

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

Peter A. Horvathy·Mikhail S. Plyushchay·Mauricio Valenzuela
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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.

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Peter A. Horvathy, Mikhail S. Plyushchay, Mauricio Valenzuela. 2007-01-26. Bosonized supersymmetry of anyons and supersymmetric exotic particle on the non-commutative plane. https://doi.org/10.1016/j.nuclphysb.2007.01.021

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