Inversion symmetric 3-monopoles and the Atiyah-Hitchin manifold

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1088/0951-7715/9/6/013

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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