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Hyper-Kähler metrics from periodic monopoles

Cherkis, Sergey A. and Kapustin, Anton (2002) Hyper-Kähler metrics from periodic monopoles. Physical Review D, 65 (8). Art. No. 084015. ISSN 2470-0010. https://resolver.caltech.edu/CaltechAUTHORS:CHEprd02

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/hep-th/0109141arXivDiscussion Paper
https://doi.org/10.1103/PhysRevD.65.084015DOIUNSPECIFIED
https://doi.org/10.1103/PhysRevD.65.084015DOIUNSPECIFIED
ORCID:
AuthorORCID
Cherkis, Sergey A.0000-0002-0785-0126
Kapustin, Anton0000-0003-3903-5158
Additional Information:© 2002 The American Physical Society Received 14 November 2001; published 25 March 2002 S. Ch. was supported in part by NSF grant PHY9819686. A. K. was supported in part by DOE grants DE-FG02-90-ER40542 and DE-FG03-92-ER40701.
Funders:
Funding AgencyGrant Number
NSFPHY-9819686
Department of Energy (DOE)DE-FG02-90-ER40542
Department of Energy (DOE)DE-FG03-92-ER40701
Issue or Number:8
Record Number:CaltechAUTHORS:CHEprd02
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:CHEprd02
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1924
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:23 Feb 2006
Last Modified:02 Oct 2019 22:48

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