Phys. Rev. D 65, 084015 (2002) [10 pages]

Hyper-Kähler metrics from periodic monopoles

Abstract

References

Citing Articles (2)

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Sergey A. Cherkis^*
Physics Department, University of California, Los Angeles, Los Angeles, California 90095-1547

Anton Kapustin^†
California Institute of Technology, Pasadena, California 91125

Received 14 November 2001; published 25 March 2002

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.

URL:

http://link.aps.org/doi/10.1103/PhysRevD.65.084015

DOI:

10.1103/PhysRevD.65.084015

PACS:

04.62.+v

^*E-mail address: cherkis@physics.ucla.edu

^†E-mail address: kapustin@theory.caltech.edu

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Phys. Rev. D 65, 084015 (2002) [10 pages]

Hyper-Kähler metrics from periodic monopoles