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arXiv · 2401.16494

Finkelstein-Rubinstein constraints from ADHM data and rational maps

Josh Cork·Derek Harland
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Abstract

We establish simple formulae for computing Finkelstein-Rubinstein signs for Skyrme fields generated in two ways: from instanton ADHM data, and from rational maps. This may be used to compute homotopy classes of general loops in the configuration spaces of skyrmions, and as a result provide a useful tool for a quantum treatment beyond rigid-body quantisation of skyrmions.

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Josh Cork, Derek Harland. 2024-03-04. Finkelstein-Rubinstein constraints from ADHM data and rational maps. https://doi.org/10.1016/j.physletb.2024.138542

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