A hyperbolic analogue of the Atiyah-Hitchin manifold

Sutcliffe, Paul

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