| dc.contributor.author | HOUGHTON, CONOR JAMES | |
| dc.date.accessioned | 2008-10-01T15:28:20Z | |
| dc.date.available | 2008-10-01T15:28:20Z | |
| dc.date.issued | 1996 | |
| dc.date.submitted | 1996 | en |
| dc.identifier.citation | Conor J. Houghton and Paul M. Sutcliffe `Octahedral and Dodecahedral Monopoles? in Nonlinearity, 9, 1996, pp 385 ? 401. | en |
| dc.identifier.issn | 0951-7715 | |
| dc.identifier.other | Y | |
| dc.description | PUBLISHED | en |
| dc.description.abstract | 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. | en |
| dc.description.sponsorship | Many thanks to Nigel Hitchin and Nick Manton for useful discussions. CJH thanks the
EPSRC for a research studentship and the British Council for an FCO award. PMS thanks
the EPSRC for a research fellowship. | en |
| dc.format.extent | 385 | en |
| dc.format.extent | 401 | en |
| dc.format.extent | 192817 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.language.iso | en | en |
| dc.publisher | IOP | en |
| dc.relation.ispartofseries | Nonlinearity | en |
| dc.relation.ispartofseries | 9 | en |
| dc.rights | Y | en |
| dc.subject | Pure & Applied Mathematics | en |
| dc.title | Octahedral and dodecahedral monopoles | en |
| dc.type | Journal Article | en |
| dc.type.supercollection | scholarly_publications | en |
| dc.type.supercollection | refereed_publications | en |
| dc.identifier.peoplefinderurl | http://people.tcd.ie/houghtcj | |
| dc.identifier.rssuri | http://www.iop.org/EJ/article/0951-7715/9/2/005/no6205.pdf | |
| dc.identifier.rssuri | http://uk.arxiv.org/abs/hep-th/9601147 | |
| dc.identifier.uri | http://hdl.handle.net/2262/22539 | |
