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.

arXiv comment1+11 pages, 1 figure. Matches journal version

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Cited by in corpus (3)

• Quantization of skyrmions using instantons
• Locations of JNR skyrmions
• JNR Skyrmions