Singular Monopoles from Cheshire Bows

Source: https://www.maths.tcd.ie/report_series/abstracts/tcdm1008.html Parent: https://www.maths.tcd.ie/research/papers/

Singular Monopoles from Cheshire Bows

Singular monopoles are nonabelian monopoles with prescribed Dirac-type singularities. All of them are delivered by the Nahm's construction of monopoles. In practice, however, its effectiveness 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 this bow construction we obtain an explicit expression for one $U(2)$ gauge group monopole with any given number of singularities of Dirac type.