Bosonized supersymmetry of anyons and supersymmetric exotic particle on the non-commutative plane (original) (raw)

Mauricio Valenzuela

2007, Nuclear Physics B

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18 pages

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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.