A hyperbolic analogue of the Atiyah-Hitchin manifold

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.

Automated summary

This paper presents a hyperbolic analogue of the Atiyah-Hitchin manifold and calculates the boundary metric on its moduli space in hyperbolic space using a twistor description.