Inversion symmetric 3-monopoles and the Atiyah-Hitchin manifold

Conor Houghton, Paul Sutcliffe

Research output: Contribution to journalArticle (Academic Journal)peer-review

10 Citations (Scopus)
276 Downloads (Pure)


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.
Original languageEnglish
Pages (from-to)1609-1622
Number of pages15
Issue number6
Publication statusPublished - 17 Sept 1996

Bibliographical note

latex, 22 pages, 2 figures. To appear in Nonlinearity


  • hep-th


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