New Supersymmetry of the Monopole
High Energy Physics - Theory
2009-10-28 v1
Abstract
The non-relativistic dynamics of a spin-1/2 particle in a monopole field possesses a rich supersymmetry structure. One supersymmetry, uncovered by d'Hoker and Vinet, is of the standard type: it squares to the Hamiltonian. In this paper we show the presence of another supersymmetry which squares to the Casimir invariant of the full rotation group. The geometrical origin of this supersymmetry is traced, and its relationship with the constrained dynamics of a spinning particle on a sphere centered at the monopole is described.
Keywords
Cite
@article{arxiv.hep-th/9507046,
title = {New Supersymmetry of the Monopole},
author = {F. De Jonghe and A. J. Macfarlane and K. Peeters and J. W. van Holten},
journal= {arXiv preprint arXiv:hep-th/9507046},
year = {2009}
}
Comments
Latex twice, 1+5 pages