NEW SUPERSYMMETRY OF THE MONOPOLE

Citation
F. Dejonghe et al., NEW SUPERSYMMETRY OF THE MONOPOLE, Physics letters. Section B, 359(1-2), 1995, pp. 114-117
Citations number
17
Categorie Soggetti
Physics
Journal title
ISSN journal
03702693
Volume
359
Issue
1-2
Year of publication
1995
Pages
114 - 117
Database
ISI
SICI code
0370-2693(1995)359:1-2<114:NSOTM>2.0.ZU;2-R
Abstract
The non-relativistic dynamics of a spin-1/2 particle in a monopole fie ld possesses a rich supersymmetry structure. One supersymmetry, uncove red by d'Hoker and Vinet, is of the standard type: it squares to the H amiltonian. In this paper we show the presence of another supersymmetr y which squares to the Casimir invariant of the full rotation group. T he geometrical origin of this supersymmetry is traced, and its relatio nship with the constrained dynamics of a spinning particle on a sphere centered at the monopole is described.