Hyper-Kähler metrics from periodic monopoles

Sergey Cherkis, Anton Kapustin

Research output: Contribution to journalArticle

33 Citations (Scopus)

Abstract

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
Volume65
Issue number8 A
StatePublished - Apr 15 2002
Externally publishedYes

Fingerprint

Monopole
monopoles
Moduli Space
Instantons
instantons
Metric
Complex Geometry
topology
Asymptotic Behavior
Curvature
curvature
Topology
Alternatives
geometry
Interaction
interactions

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

Hyper-Kähler metrics from periodic monopoles. / Cherkis, Sergey; Kapustin, Anton.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 65, No. 8 A, 084015, 15.04.2002, p. 840151-8401510.

Research output: Contribution to journalArticle

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