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arXiv · hep-th/9609136

Inversion symmetric 3-monopoles and the Atiyah-Hitchin manifold

Conor Houghton·Paul Sutcliffe
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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.

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Conor Houghton, Paul Sutcliffe. 1996-09-17. Inversion symmetric 3-monopoles and the Atiyah-Hitchin manifold. https://doi.org/10.1088/0951-7715%2F9%2F6%2F013

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