Helicity supersymmetry of dyons

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 $\mathcal{R}$. The new SUSY anticommutes with the chiral SUSY discussed previously.

14 pages, 2 figures

References in corpus (1)

• Non-relativistic scattering of a spin-1/2 particle off a self-dual monopole

Cited by in corpus (10)

• Multi-center MICZ-Kepler system, supersymmetry and integrability
• The Dirac equation in Taub-NUT space
• Supergoop Dynamics
• Hamiltonian reduction and supersymmetric mechanics with Dirac monopole
• Particle in a self-dual dyon background: hidden free nature, and exotic superconformal symmetry
• Dynamical supersymmetry of spin particle-magnetic field interaction
• Dynamal (super)symmetries of monopoles and vortices
• Mechanics and Quantum Supermechanics of a Monopole Probe Including a Coulomb Potential
• Infinite loop superalgebras of the Dirac theory on the Euclidean Taub-NUT space
• The Biedenharn Approach to Relativistic Coulomb-type Problems