Hyperkahler Metrics from Periodic Monopoles

Details Hyperkahler Metrics from Periodic Monopoles Hyperkahler Metrics from Periodic Monopoles

2001-09-19

arxiv.org/abs/hep-th/0109141v3

Phys.Rev. D65 (2002) 084015

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, latex. v2: an erroneous formula is corrected, and its derivation is given. v3 (published version): references added

Scientific paper

10.1103/PhysRevD.65.084015

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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