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arXiv · 1406.4720

Symmetric hyperbolic monopoles

Alexander Cockburn
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Abstract

Hyperbolic monopole solutions can be obtained from circle-invariant ADHM data if the curvature of hyperbolic space is suitably tuned. Here we give explicit ADHM data corresponding to axial hyperbolic monopoles in a simple, tractable form, as well as expressions for the axial monopole fields. The data is deformed into new 1-parameter families preserving dihedral and twisted-line symmetries. In many cases explicit expressions are presented for their spectral curves and rational maps of both Donaldson and Jarvis type.

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Alexander Cockburn. 2014-06-18. Symmetric hyperbolic monopoles. https://doi.org/10.1088/1751-8113/47/39/395401

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