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/r2 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', , and the extra two-fold degeneracy is explained by the subtle supersymmetry generated by the 'Dyon Helicity' or generalized `Biedenharn-Johnson-Lippmann' operator R. The new SUSY anticommutes with the chiral SUSY discussed previously.
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