Skyrmions from gravitational instantons

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.

Major changes: The Atiyah-Hitchin manifold and the corresponding skyrmion discussed in more detail, gauge fixing procedure clarified, earlier errors corrected. Final version, to appear in Proceedings of the Royal Society A

References in corpus (4)

• Instantons on Gravitons
• Abelian vortices from Sinh--Gordon and Tzitzeica equations
• Yang-Mills Instantons from Gravitational Instantons
• Geometric Models of Matter

Cited by in corpus (3)

• Quantization of Emergent Gravity
• On the NUT-Born-Infeld-$\Lambda$ spacetime
• Constrained instanton approximation of Skyrmions with massive pions