Singular Monopoles from Cheshire Bows

Abstract

Singular monopoles are nonabelian monopoles with prescribed Dirac-type singularities. All of them are delivered by the Nahm's construction. In practice, however, the effectiveness of the latter is limited to the cases of one or two singularities. We present an alternative construction of singular monopoles formulated in terms of Cheshire bows. To illustrate the advantages of our bow construction we obtain an explicit expression for one U(2) gauge group monopole with any given number of singularities of Dirac type.

LaTeX, 34 pages, 8 figures

References in corpus (6)

• Instantons on Gravitons
• Moduli Spaces of Instantons on the Taub-NUT Space
• The 't Hooft-Polyakov Monopole in the Presence of a 't Hooft Operator
• Singular Monopoles via the Nahm Transform
• One Monopole with k Singularities
• Non-abelian vortices, Hecke modifications and singular monopoles

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• Simulating Magnetic Monopole-Defect Dynamics
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