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Hyperbolic vortices with large magnetic flux.

Sutcliffe, P.M. (2012) 'Hyperbolic vortices with large magnetic flux.', Physical review D : particles and fields., 85 (12). p. 125015.


There has been some recent interest in the study of non-Abelian Bogomolny-Prasad-Sommerfield (BPS) monopoles in the limit of large magnetic charge. Most investigations have used a magnetic bag approximation, in which spherical symmetry is assumed within an Abelian description. In particular, this approach has been used to suggest the existence of two types of magnetic bags, with differing distributions of the zeros of the Higgs field, together with multilayer structures, containing several magnetic bags. This paper is concerned with the analogous situation of Abelian BPS vortices in the hyperbolic plane, in the limit of large magnetic flux. This system has the advantage that explicit exact solutions can be obtained and compared with a magnetic bag approximation. Exact BPS vortex solutions are presented that are analogous to the two types of magnetic bags predicted for BPS monopoles and it is shown that these structures can be combined to produce exact multilayer solutions.

Item Type:Article
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Publisher statement:© 2012 American Physical Society
Date accepted:No date available
Date deposited:24 July 2013
Date of first online publication:June 2012
Date first made open access:No date available

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