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Locations of JNR skyrmions

High Energy Physics - Theory 2025-07-23 v2 Mathematical Physics math.MP
Authors: Josh Cork , Linden Disney-Hogg
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Abstract

We develop and prove new geometric and algebraic characterisations for locations of constituent skyrmions, as well as their signed multiplicity, using Sutcliffe's JNR ansatz. Some low charge examples, and their similarity to BPS monopoles, are discussed. In addition, we provide Julia code for the further numerical study and visualisation of JNR skyrmions.

Keywords

skyrmion JNR ansatz geometric characterization algebraic characterization BPS monopole

Cite

@article{arxiv.2505.00075,
  title  = {Locations of JNR skyrmions},
  author = {Josh Cork and Linden Disney-Hogg},
  journal= {arXiv preprint arXiv:2505.00075},
  year   = {2025}
}

Comments

1+22 pages, 1 figure. Supporting Julia code available from https://github.com/DisneyHogg/JNR_skyrmions

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