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Dynamics of monopole walls.

Maldonado, R. and Ward, R.S. (2014) 'Dynamics of monopole walls.', Physics letters B., 734 . pp. 328-332.


The moduli space of centred Bogomolny–Prasad–Sommerfield 2-monopole fields is a 4-dimensional manifold M with a natural metric, and the geodesics on M correspond to slow-motion monopole dynamics. The best-known case is that of monopoles on R3, where M is the Atiyah–Hitchin space. More recently, the case of monopoles periodic in one direction (monopole chains) was studied a few years ago. Our aim in this note is to investigate M for doubly-periodic fields, which may be visualized as monopole walls. We identify some of the geodesics on M as fixed-point sets of discrete symmetries, and interpret these in terms of monopole scattering and bound orbits, concentrating on novel features that arise as a consequence of the periodicity.

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Publisher statement:© 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license ( Funded by SCOAP3.
Date accepted:22 May 2014
Date deposited:22 August 2016
Date of first online publication:28 May 2014
Date first made open access:No date available

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