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Durham University

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Publication details for Paul Sutcliffe

Bolognesi, S., Harland, D. & Sutcliffe, P.M. (2015). Magnetic bags in hyperbolic space. Physical Review D 92(2): 025052.

Author(s) from Durham


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.