Finkelstein-Rubinstein constraints from ADHM data and rational maps

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.

1+11 pages, 1 figure. Matches journal version

References in corpus (4)

• Light Nuclei of Even Mass Number in the Skyrme Model
• Light Nuclei as Quantized Skyrmions
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• Nucleon-nucleon potential from instanton holonomies