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)|
|Number of pages||7561360|
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|Issue number||8 A|
|State||Published - Apr 15 2002|
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)