Hyper-Kähler metrics from periodic monopoles

Sergey A. Cherkis, Anton Kapustin

Research output: Contribution to journalArticlepeer-review

47 Scopus citations


Relative moduli spaces of periodic monopoles provide novel examples of asymptotically locally flat hyper-Kähler 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 a 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.

Original languageEnglish (US)
Article number084015
Pages (from-to)840151-8401510
Number of pages7561360
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number8 A
StatePublished - Apr 15 2002

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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