Two monopoles of one type and one of another
Conor Houghton, Patrick Irwin, A. J. Mountain
TL;DR
This paper computes and analyzes the metric on the moduli space of specific SU(3) BPS monopoles, using hyperKahler quotient methods and exploring various properties and limits of this metric.
Contribution
It provides a detailed calculation and alternative derivation of the moduli space metric for (2,1) SU(3) monopoles, linking hyperKahler geometry and rational map correspondence.
Findings
Explicit metric on the moduli space derived
Properties of the metric analyzed using hyperKahler quotient
Various limits of the metric explored
Abstract
The metric on the moduli space of charge (2,1) SU(3) Bogomolny-Prasad-Sommerfield monopoles is calculated and investigated. The hyperKahler quotient construction is used to provide an alternative derivation of the metric. Various properties of the metric are derived using the hyperKahler quotient construction and the correspondence between BPS monopoles and rational maps. Several interesting limits of the metric are also considered.
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