Singular Monopoles via the Nahm Transform

Brian Durcan; Sergey A. Cherkis

Singular Monopoles via the Nahm Transform

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arxiv 0712.0850 v1 pith:J4FPRDZ4 submitted 2007-12-05 hep-th

Sergey A. Cherkis , Brian Durcan This is my paper · ORCID

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keywords expressionsnahmsolutionstransformapplyingbogomolnychargederive

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We present explicit expressions for the fields of a charge one BPS monopole with two Dirac singularities. These are solutions of the nonlinear Bogomolny equations with the gauge group U(2) or SO(3). We derive these expressions by applying the technique of the Nahm transform. By exploring various limits we find a number of other solutions.

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Moduli Space of SU(2) Singular Monopole
hep-th 2025-07 conditional novelty 5.0 of 10

The moduli space of the SU(2) singular monopole is shown, via explicit zero modes and a Nahm-data quotient, to be the Taub-NUT space.

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