1996/01/26 by Conor Houghton, Paul Sutcliffe · 6 citations
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Atomic and Molecular Physics #Electromagnetic Scattering and Analysis #hep-th
paper · pdf · doi:10.1088/0951-7715/9/2/005
uuencoded latex, 20 pages, 2 figures To appear in Nonlinearity
arxiv created 1996/01/26 · openalex publication_date 1996/03/01 · arxiv updated 2009/11/30 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/30
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.