Dynamics of Periodic Monopoles

Abstract

BPS monopoles which are periodic in one of the spatial directions correspond, via a generalized Nahm transform, to solutions of the Hitchin equations on a cylinder. A one-parameter family of solutions of these equations, representing a geodesic in the 2-monopole moduli space, is constructed numerically. It corresponds to a slow-motion dynamical evolution, in which two parallel monopole chains collide and scatter at right angles.

12 pages, 1 figure More details of numerical methods included

References in corpus (3)

• Periodic Monopoles
• Nonsingular solutions of Hitchin's equations for noncompact gauge groups
• Numerical Investigation of Monopole Chains

Cited by in corpus (10)

• The large N limit of the Nahm transform
• Geometry of Periodic Monopoles
• Dynamics of monopole walls
• Periodic Monopoles from Spectral Curves
• Magnetic Domains
• Geometry of Solutions of Hitchin Equations on R^2
• Hyperkahler Metrics from Monopole Walls
• Higher charge periodic monopoles
• Integrable (2k)-Dimensional Hitchin Equations
• Scaling limits of periodic monopoles