Cork, J. and Disney–Hogg, L. (Cover date: September 2025) Locations of JNR Skyrmions. Mathematical Physics, Analysis and Geometry, 28 (3). 17. ISSN: 1385-0172
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.
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| Item Type: | Article |
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| Copyright, Publisher and Additional Information: | © The Author(s) 2025. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
| Dates: |
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| Institution: | The University of Leeds |
| Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) |
| Date Deposited: | 20 Apr 2026 15:12 |
| Last Modified: | 20 Apr 2026 15:12 |
| Published Version: | https://link.springer.com/article/10.1007/s11040-0... |
| Status: | Published |
| Publisher: | Springer Nature |
| Identification Number: | 10.1007/s11040-025-09513-3 |
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| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:239891 |
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