Monopoles and the Gibbons-Manton metric

Details Monopoles and the Gibbons-Manton metric Monopoles and the Gibbons-Manton metric

1998-01-14

arxiv.org/abs/hep-th/9801091v1

Commun.Math.Phys. 194 (1998) 297-321

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, AMS-Latex, to appear in Commun. Math. Phys

Scientific paper

10.1007/s002200050359

We show that, in the region where monopoles are well separated, the L^2-metric on the moduli space of n-monopoles is exponentially close to the T^n-invariant hyperk\"ahler metric proposed by Gibbons and Manton. The proof is based on a description of the Gibbons-Manton metric as a metric on a certain moduli space of solutions to Nahm's equations, and on twistor methods. In particular, we show how the twistor description of monopole metrics determines the asymptotic metric.

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