Supersymmetry between Jackiw-Nair and Dirac-Majorana anyons

Peter A. Horváthy, Mikhail S. Plyushchay, and Mauricio Valenzuela
Phys. Rev. D 81, 127701 – Published 1 June 2010

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-Poincaré symmetry.

  • Received 21 April 2010

DOI:https://doi.org/10.1103/PhysRevD.81.127701

©2010 American Physical Society

Authors & Affiliations

Peter A. Horváthy1,*, Mikhail S. Plyushchay2,3,†, and Mauricio Valenzuela1,‡

  • 1Laboratoire de Mathématiques et de Physique Théorique, Université de Tours, Parc de Grandmont, F-37200 Tours, France
  • 2Departamento de Física, Universidad de Santiago de Chile, Casilla 307, Santiago 2, Chile
  • 3Departamento de Física Teórica, Atómica y Óptica, Universidad de Valladolid, 47071, Valladolid, Spain

  • *horvathy-at-univ-tours.fr
  • mplyushc-at-lauca.usach.cl
  • valenzuela-at-lmpt.univ-tours.fr

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Issue

Vol. 81, Iss. 12 — 15 June 2010

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