Helicity supersymmetry of dyons

F. Bloore; P. A. Horvathy

doi:10.1063/1.529664

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arXiv · hep-th/0512144

Helicity supersymmetry of dyons

F. Bloore·P. A. Horvathy

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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', $Γ$, 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.

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F. Bloore, P. A. Horvathy. 2005-12-13. Helicity supersymmetry of dyons. https://doi.org/10.1063/1.529664

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