Hidden symmetry of hyperbolic monopole motion

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dc.creatorGibbons, G. W.
dc.creatorWarnick, C. M.
dc.date2006-09-07
dc.date2006-10-27
dc.date.accessioned2026-07-07T11:27:37Z
dc.date.available2026-07-07T11:27:37Z
dc.descriptionHyperbolic monopole motion is studied for well separated monopoles. It is shown that the motion of a hyperbolic monopole in the presence of one or more fixed monopoles is equivalent to geodesic motion on a particular submanifold of the full moduli space. The metric on this submanifold is found to be a generalisation of the multi-centre Taub-NUT metric introduced by LeBrun. The one centre case is analysed in detail as a special case of a class of systems admitting a conserved Runge-Lenz vector. The two centre problem is also considered. An integrable classical string motion is exhibited.
dc.description39 pages, 7 figures, references added, minor changes to section 2
dc.identifierhttps://arxiv.org/abs/hep-th/0609051
dc.identifierhttp://arxiv.org/abs/hep-th/0609051
dc.identifierJ.Geom.Phys.57:2286-2315,2007
dc.identifierdoi:10.1016/j.geomphys.2007.07.004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196198
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleHidden symmetry of hyperbolic monopole motion
dc.typetext

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