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arXiv · hep-th/0109141

Hyperkahler Metrics from Periodic Monopoles

Sergey A. Cherkis·Anton Kapustin
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Abstract

Relative moduli spaces of periodic monopoles provide novel examples of Asymptotically Locally Flat hyperkahler manifolds. By considering the interactions between well-separated periodic monopoles, we infer the asymptotic behavior of their metrics. When the monopole moduli space is four-dimensional, this construction yields interesting examples of metrics with self-dual curvature (gravitational instantons). We discuss their topology and complex geometry. An alternative construction of these gravitational instantons using moduli spaces of Hitchin equations is also described.

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Sergey A. Cherkis, Anton Kapustin. 2002-01-18. Hyperkahler Metrics from Periodic Monopoles. https://doi.org/10.1103/physrevd.65.084015

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