Slow equivariant lump dynamics on the two sphere

Abstract

The low-energy, rotationally equivariant dynamics of n CP^1 lumps on S^2 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.

12 pages, 3 figures

Cited by in corpus (7)

• Exact moduli space metrics for hyperbolic vortices
• The volume of the space of holomorphic maps from S^2 to CP^k
• Ricci magnetic geodesic motion of vortices and lumps
• The volume of a vortex and the Bradlow bound
• Quantum lump dynamics on the two-sphere
• Moduli Spaces of Lumps on Real Projective Space
• Magnetic bubble refraction and quasibreathers in inhomogeneous antiferromagnets