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A hyperbolic analogue of the Atiyah-Hitchin manifold

Sutcliffe, Paul (2022) 'A hyperbolic analogue of the Atiyah-Hitchin manifold.', Journal of High Energy Physics, 2022 (1). 090.

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.

Item Type:Article
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1007/JHEP01(2022)090
Publisher 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.
Date accepted:05 January 2022
Date deposited:28 January 2022
Date of first online publication:18 January 2022
Date first made open access:28 January 2022

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