Monday, December 3, 2012

1206.0016 (Maciej Dunajski)

Skyrmions from gravitational instantons    [PDF]

Maciej Dunajski
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.
View original: http://arxiv.org/abs/1206.0016

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