Dynamical symmetry of the Kaluza-Klein monopole

Details Dynamical symmetry of the Kaluza-Klein monopole Dynamical symmetry of the Kaluza-Klein monopole

2009-02-26

arxiv.org/abs/0902.4600v1

SYMMETRIES IN SCIENCE III, Gruber B and Iachello F (eds), Plenum, New York, pp. 399-417, (1989)

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 1 figure. This review has been presented at the 1988 Schloss Hofen Meeting on Symmetries in Science III, and publish

Scientific paper

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).

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