Magnetic bags in hyperbolic space

Bolognesi, S.; Harland, D.; Sutcliffe, P.M.

Abstract

A magnetic bag is an Abelian approximation to a large number of coincident SU(2) Bogomol’nyi-Prasad-Sommerfield monopoles. In this paper we consider magnetic bags in hyperbolic space and derive their Nahm transform from the large-charge limit of the discrete Nahm equation for hyperbolic monopoles. An advantage of studying magnetic bags in hyperbolic space, rather than Euclidean space, is that a range of exact charge N hyperbolic monopoles can be constructed, for arbitrarily large values of N , and compared with the magnetic bag approximation. We show that a particular magnetic bag (the magnetic disc) provides a good description of the axially symmetric N -monopole. However, an Abelian magnetic bag is not a good approximation to a roughly spherical N -monopole that has more than N zeros of the Higgs field. We introduce an extension of the magnetic bag that does provide a good approximation to such monopoles and involves a spherical non-Abelian interior for the bag, in addition to the conventional Abelian exterior.

Citation

Bolognesi, S., Harland, D., & Sutcliffe, P. (2015). Magnetic bags in hyperbolic space. Physical Review D, 92(2), Article 025052. https://doi.org/10.1103/physrevd.92.025052

• Journal Article Type: Article
• Acceptance Date: Jul 17, 2015
• Publication Date: Jul 30, 2015
• Deposit Date: Aug 1, 2015
• Publicly Available Date: Aug 11, 2015
• Journal: Physical Review D - Particles, Fields, Gravitation, and Cosmology
• Print ISSN: 1550-7998
• Electronic ISSN: 1550-2368
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 92
• Issue: 2
• Article Number: 025052
• DOI: https://doi.org/10.1103/physrevd.92.025052
• Public URL: https://durham-repository.worktribe.com/output/1434285