Dynamics of monopole walls

Maldonado, R.; Ward, R.S.

Abstract

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.

Citation

Maldonado, R., & Ward, R. (2014). Dynamics of monopole walls. Physics Letters B, 734, 328-332. https://doi.org/10.1016/j.physletb.2014.05.072

• Journal Article Type: Article
• Acceptance Date: May 22, 2014
• Online Publication Date: May 28, 2014
• Publication Date: Jun 27, 2014
• Deposit Date: Jun 6, 2014
• Publicly Available Date: Aug 22, 2016
• Journal: Physics Letters B
• Print ISSN: 0370-2693
• Electronic ISSN: 1873-2445
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 734
• Pages: 328-332
• DOI: https://doi.org/10.1016/j.physletb.2014.05.072
• Public URL: https://durham-repository.worktribe.com/output/1428860