Dynamics of Periodic Monopoles

Details Dynamics of Periodic Monopoles Dynamics of Periodic Monopoles

2009-01-28

arxiv.org/abs/0901.4428v2

Phys.Lett.B675:262-266,2009

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 1 figure More details of numerical methods included

Scientific paper

10.1016/j.physletb.2009.03.074

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.

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