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arXiv · hep-th/9801091

Monopoles and the Gibbons-Manton metric

Roger Bielawski
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Abstract

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 hyperkähler 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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Roger Bielawski. 1998-01-14. Monopoles and the Gibbons-Manton metric. https://doi.org/10.1007/s002200050359

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