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Magnetic bags in hyperbolic space.

Bolognesi, S. and Harland, D. and Sutcliffe, P.M. (2015) 'Magnetic bags in hyperbolic space.', Physical review D., 92 (2). 025052.


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.

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Publisher statement:Reprinted with permission from the American Physical Society: Physical Review D 92, 025052 © (2015) by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.
Date accepted:17 July 2015
Date deposited:11 August 2015
Date of first online publication:July 2015
Date first made open access:No date available

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