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arxiv: 0901.4428 · v2 · submitted 2009-01-28 · ✦ hep-th

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Dynamics of Periodic Monopoles

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classification ✦ hep-th
keywords equationsmonopolemonopolesperiodicsolutionsangleschainscollide
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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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