Helicity supersymmetry of dyons

TL;DR

This paper explores the supersymmetry structure of a dyon system involving a spin 1/2 particle, revealing a new form of supersymmetry that explains degeneracies and extends previous chiral supersymmetry findings.

Contribution

It introduces a novel supersymmetry in the dyon system using the Biedenharn-Temple operator and the Dyon Helicity operator, extending understanding of degeneracies in such systems.

Findings

Explicit solution obtained using the Biedenharn-Temple operator

Identification of a new supersymmetry explaining degeneracies

The new SUSY anticommutes with previously known chiral SUSY

Abstract

The 'dyon' system of D'Hoker and Vinet consisting of a spin 1/2 particle with anomalous gyromagnetic ratio 4 in the combined field of a Dirac monopole plus a Coulomb plus a suitable $1/r^2$ potential (which arises in the long-range limit of a self-dual monopole) is studied following Biedenharn's approach to the Dirac-Coulomb problem: the explicit solution is obtained using the `Biedenharn-Temple operator', $\Gamma$, and the extra two-fold degeneracy is explained by the subtle supersymmetry generated by the 'Dyon Helicity' or generalized `Biedenharn-Johnson-Lippmann' operator ${\cal R}$. The new SUSY anticommutes with the chiral SUSY discussed previously.