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A hyperbolic analogue of the Atiyah-Hitchin manifold

Sutcliffe, Paul

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Abstract

The Atiyah-Hitchin manifold is the moduli space of parity inversion symmetric charge two SU(2) monopoles in Euclidean space. Here a hyperbolic analogue is presented, by calculating the boundary metric on the moduli space of parity inversion symmetric charge two SU(2) monopoles in hyperbolic space. The calculation of the metric is performed using a twistor description of the moduli space and the result is presented in terms of standard elliptic integrals.

Citation

Sutcliffe, P. (2022). A hyperbolic analogue of the Atiyah-Hitchin manifold. Journal of High Energy Physics, 2022(1), Article 90. https://doi.org/10.1007/jhep01%282022%29090

Journal Article Type Article
Acceptance Date Jan 5, 2022
Online Publication Date Jan 18, 2022
Publication Date 2022-01
Deposit Date Jan 27, 2022
Publicly Available Date Jan 28, 2022
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Electronic ISSN 1029-8479
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2022
Issue 1
Article Number 90
DOI https://doi.org/10.1007/jhep01%282022%29090

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http://creativecommons.org/licenses/by/4.0/

Copyright Statement
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.





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