Slow equivariant lump dynamics on the two sphere
Abstract
The low-energy, rotationally equivariant dynamics of n CP1 lumps on S2 is studied within the approximation of geodesic motion in the moduli space of static solutions. The volume and curvature properties of this moduli space are computed. By lifting the geodesic flow to the completion of an n-fold cover of the moduli space, a good understanding of nearly singular lump dynamics within this approximation is obtained.
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