dc.contributor.author | HOUGHTON, CONOR JAMES | |
dc.date.accessioned | 2008-09-16T14:53:54Z | |
dc.date.available | 2008-09-16T14:53:54Z | |
dc.date.issued | 2003 | |
dc.date.submitted | 2003 | en |
dc.identifier.citation | Richard Battye, Conor Houghton and Paul Sutcliffe 'Icosahedral Skyrmions' of Journal of Mathematical Physics, 44, 2003, pp 3543-3554 | en |
dc.identifier.issn | 24007 | |
dc.identifier.other | Y | |
dc.identifier.uri | http://hdl.handle.net/2262/22179 | |
dc.description | PUBLISHED | en |
dc.description.abstract | In this article we aim to determine the baryon numbers at which the minimal energy Skyrmion has icosahedral symmetry. By comparing polyhedra which arise as minimal energy Skyrmions with the dual of polyhedra that minimize the energy of Coulomb charges on a sphere, we are led to conjecture a sequence of magic baryon numbers, B = 7,17,37,67,97,, at which the minimal energy Skyrmion has icosahedral symmetry and unusually low energy. We present evidence for this conjecture by applying a simulated annealing algorithm to compute energy minimizing rational maps for all degrees up to 40. Further evidence is provided by the explicit construction of icosahedrally symmetric rational maps of degrees 37, 47, 67 and 97. To calculate these maps we introduce two new methods for computing rational maps with Platonic symmetries | en |
dc.description.sponsorship | We acknowledge EPSRC ~PMS! and PPARC ~RAB! for Advanced Fellowships | en |
dc.format.extent | 3543 | en |
dc.format.extent | 178937 bytes | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | en |
dc.publisher | American Institute of Physics | en |
dc.relation.ispartofseries | Journal of Mathematical Physics | en |
dc.relation.ispartofseries | 44 | en |
dc.rights | Y | en |
dc.subject | Pure & Applied Mathematics | en |
dc.title | Icosahedral Skyrmions | 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://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype=pdf&id=JMAPAQ000044000008003543000001&idtype=cvips&prog=normal | |
dc.identifier.rssuri | http://uk.arxiv.org/abs/hep-th/0210147 | |