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.
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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. | ||||||||||||
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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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