Dynamical symmetry of the Kaluza-Klein monopole

Abstract

The Kepler-type dynamical symmetries of the Kaluza-Klein monopole are reviewed. At the classical level, the conservation of the angular momentum and of a Runge-Lenz vector imply that the trajectories are conic sections. The o(4) algebra allows us to calculate the bound-state spectrum, and the o(3,1) algebra yields the scattering matrix. The symmetry algebra extends to o(4,2).

14 pages, 1 figure. This review has been presented at the 1988 Schloss Hofen Meeting on Symmetries in Science III, and published in the proceedings. V2: some misprints corrected