Octahedral and Dodecahedral Monopoles

Details Octahedral and Dodecahedral Monopoles Octahedral and Dodecahedral Monopoles

1996-01-26

arxiv.org/abs/hep-th/9601147v1

Physics

High Energy Physics

High Energy Physics - Theory

uuencoded latex, 20 pages, 2 figures To appear in Nonlinearity

Scientific paper

10.1088/0951-7715/9/2/005

It is shown that there exists a charge five monopole with octahedral symmetry and a charge seven monopole with icosahedral symmetry. A numerical implementation of the ADHMN construction is used to calculate the energy density of these monopoles and surfaces of constant energy density are displayed. The charge five and charge seven monopoles look like an octahedron and a dodecahedron respectively. A scattering geodesic for each of these monopoles is presented and discussed using rational maps. This is done with the aid of a new formula for the cluster decomposition of monopoles when the poles of the rational map are close together.

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