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dc.contributor.authorHOUGHTON, CONOR JAMES
dc.date.accessioned2008-09-16T14:36:24Z
dc.date.available2008-09-16T14:36:24Z
dc.date.issued1996
dc.date.submitted1996en
dc.identifier.citationHoughton, Conor J. and Sutcliffe, Paul M. 'Inversion symmetric 3-monopoles and the Atiyah-Hitchin manifold' in Nonlinearity 9, 1996 pp 1609-1622en
dc.identifier.issn24018
dc.identifier.otherY
dc.identifier.otherYen
dc.identifier.urihttp://hdl.handle.net/2262/22160
dc.descriptionPUBLISHEDen
dc.description.abstractWe consider 3-monopoles symmetric under inversion symmetry. We show that the moduli space of these monopoles is an Atiyah?Hitchin submanifold of the 3-monopole moduli space. This allows what is known about 2-monopole dynamics to be translated into results about the dynamics of 3-monopoles. Using a numerical ADHMN construction we compute the monopole energy density at various points on two interesting geodesics. The first is a geodesic over the two-dimensional rounded cone submanifold corresponding to right angle scattering and the second is a closed geodesic for three orbiting monopoles.en
dc.description.sponsorshipWe would like to thank Nick Manton for many useful discussions and also Niels Walet, who inspired our interest in D2 symmetric monopoles. CJH thanks the EPSRC for a research studentship and the British Council for a Chevening award.en
dc.format.extent1609en
dc.format.extent1622en
dc.format.extent174968 bytes
dc.format.mimetypeapplication/pdf
dc.language.isoenen
dc.publisherIOPen
dc.relation.ispartofseriesNonlinearityen
dc.relation.ispartofseries9en
dc.rightsYen
dc.subjectPure & Applied Mathematicsen
dc.titleInversion symmetric 3-monopoles and the Atiyah-Hitchin manifolden
dc.typeJournal Articleen
dc.type.supercollectionscholarly_publicationsen
dc.type.supercollectionrefereed_publicationsen
dc.identifier.peoplefinderurlhttp://people.tcd.ie/houghtcj
dc.identifier.rssurihttp://www.iop.org/EJ/article/0951-7715/9/6/013/n60613.pdf
dc.identifier.rssurihttp://uk.arxiv.org/abs/hep-th/9609136


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