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arXiv · 1004.2676

Supersymmetry between Jackiw-Nair and Dirac-Majorana anyons

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

The Jackiw-Nair description of anyons combines spin-1 topologically massive fields with the discrete series representation of the Lorentz algebra, which has fractional spin. In the Dirac-Majorana formulation the spin-1 part is replaced by the spin 1/2 planar Dirac equation. The two models are shown to belong to an N=1 supermultiplet, which carries a super-Poincare symmetry.

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Peter A. Horvathy, Mikhail S. Plyushchay, Mauricio Valenzuela. 2010-06-02. Supersymmetry between Jackiw-Nair and Dirac-Majorana anyons. https://doi.org/10.1103/physrevd.81.127701

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