Geometry of Periodic Monopoles

Maldonado, R.; Ward, R.S.

doi:10.1103/physrevd.88.125013

Geometry of Periodic Monopoles

Maldonado, R.; Ward, R.S.

Authors

R. Maldonado

R.S. Ward

Abstract

Bogomol’nyi-Prasad-Sommerfield monopoles on R 2 ×S 1 correspond, via the generalized Nahm transform, to certain solutions of the Hitchin equations on the cylinder R×S 1 . The moduli space M of two monopoles with their center of mass fixed is a four-dimensional manifold with a natural hyperkähler metric, and its geodesics correspond to slow-motion monopole scattering. The purpose of this paper is to study the geometry of M in terms of the Nahm-Hitchin data, i.e., in terms of structures on R×S 1 . In particular, we identify the moduli, derive the asymptotic metric on M , and discuss several geodesic surfaces and geodesics on M . The latter include novel examples of monopole dynamics.

Citation

Maldonado, R., & Ward, R. (2013). Geometry of Periodic Monopoles. Physical Review D, 88(12), Article 125013. https://doi.org/10.1103/physrevd.88.125013

Journal Article Type	Article
Publication Date	Dec 6, 2013
Deposit Date	Oct 28, 2013
Publicly Available Date	Dec 13, 2013
Journal	Physical Review D
Print ISSN	1550-7998
Electronic ISSN	1550-2368
Publisher	American Physical Society
Peer Reviewed	Peer Reviewed
Volume	88
Issue	12
Article Number	125013
DOI	https://doi.org/10.1103/physrevd.88.125013

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