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) |
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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 |
DOIs | |
State | Published - Apr 15 2002 |
Externally published | Yes |
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)