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arXiv · 1206.0016

Skyrmions from gravitational instantons

Maciej Dunajski
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Abstract

We propose a construction of Skyrme fields from holonomy of the spin connection of gravitational instantons. The procedure is implemented for Atiyah-Hitchin and Taub-NUT instantons. The skyrmion resulting from the Taub-NUT is given explicitly on the space of orbits of a left translation inside the whole isometry group. The domain of the Taub-NUT skyrmion is a trivial circle bundle over the Poincare disc. The position of the skyrmion depends on the Taub-NUT mass parameter, and its topological charge is equal to two.

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Maciej Dunajski. 2012-11-30. Skyrmions from gravitational instantons. https://doi.org/10.1098/rspa.2012.0576

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