Supersymmetry between Jackiw-Nair and Dirac-Majorana anyons
Peter A. Horvathy, Mikhail S. Plyushchay, and Mauricio Valenzuela
TL;DR
This paper demonstrates a supersymmetric relationship between two different models of anyons, linking the Jackiw-Nair and Dirac-Majorana formulations through an N=1 supermultiplet with super-Poincare symmetry.
Contribution
It reveals a novel supersymmetry connection between two distinct anyon models, unifying their descriptions within a supermultiplet framework.
Findings
The models form an N=1 supermultiplet.
The supermultiplet carries super-Poincare symmetry.
The two formulations are shown to be supersymmetrically related.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.