Octahedral and dodecahedral monopoles
Item Type:Journal Article
Citation:Conor J. Houghton and Paul M. Sutcliffe `Octahedral and Dodecahedral Monopoles? in Nonlinearity, 9, 1996, pp 385 ? 401.
Octahedral and Dodecahedral.pdf (published author copy) 188.2Kb
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.
Author: HOUGHTON, CONOR JAMES
Type of material:Journal Article
Availability:Full text available
Keywords:Pure & Applied Mathematics