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Supersymmetry between Jackiw-Nair and Dirac-Majorana anyons

High Energy Physics - Theory 2014-11-20 v2 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.1004.2676,
  title  = {Supersymmetry between Jackiw-Nair and Dirac-Majorana anyons},
  author = {Peter A. Horvathy and Mikhail S. Plyushchay and Mauricio Valenzuela},
  journal= {arXiv preprint arXiv:1004.2676},
  year   = {2014}
}

Comments

4 pages, no figures. Typos corrected. Published version