0902.4600 (L. Feher et al.)

Dynamical symmetry of the Kaluza-Klein monopole    [PDF]

L. Feher, P. A. Horvathy

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).

View original: http://arxiv.org/abs/0902.4600