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29 March 2024
 
  » arxiv » 1206.0016

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Skyrmions from gravitational instantons
Maciej Dunajski ;
Date 31 May 2012
AbstractWe 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.
Source arXiv, 1206.0016
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