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Inversion symmetric 3-monopoles and the Atiyah-Hitchin manifold

By Conor J Houghton and Paul M. Sutcliffe

Abstract

We 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

Topics: QC20
Publisher: IOP publishing ltd
Year: 1996
DOI identifier: 10.1088/0951-7715/9/6/013
OAI identifier: oai:kar.kent.ac.uk:19246
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