### 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 language | English (US) |
---|---|

Article number | 084015 |

Pages (from-to) | 840151-8401510 |

Number of pages | 7561360 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 65 |

Issue number | 8 A |

State | Published - Apr 15 2002 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*65*(8 A), 840151-8401510. [084015].

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

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 65, no. 8 A, 084015, pp. 840151-8401510.

}

TY - JOUR

T1 - Hyper-Kähler metrics from periodic monopoles

AU - Cherkis, Sergey

AU - Kapustin, Anton

PY - 2002/4/15

Y1 - 2002/4/15

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0037091575&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037091575&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0037091575

VL - 65

SP - 840151

EP - 8401510

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 8 A

M1 - 084015

ER -