Finkelstein-Rubinstein constraints from ADHM data and rational maps
High Energy Physics - Theory
2024-03-05 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2401.16494,
title = {Finkelstein-Rubinstein constraints from ADHM data and rational maps},
author = {Josh Cork and Derek Harland},
journal= {arXiv preprint arXiv:2401.16494},
year = {2024}
}
Comments
1+11 pages, 1 figure. Matches journal version