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arxiv: 1004.2676 · v2 · pith:2N54OWWJnew · submitted 2010-04-15 · ✦ hep-th · math-ph· math.MP

Supersymmetry between Jackiw-Nair and Dirac-Majorana anyons

classification ✦ hep-th math-phmath.MP
keywords anyonsdirac-majoranajackiw-nairspinspin-1algebrabelongcarries
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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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