Geometry of Gauged Skyrmions
A work of Manton showed how skymions may be viewed as maps between Riemannian manifolds minimising an energy functional, with topologically non-trivial global minimisers given precisely by isometries. We consider a generalisation of this energy functional to gauged skyrmions, valid for a broad class...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2023 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2023
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/212013 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Geometry of Gauged Skyrmions. Josh Cork and Derek Harland. SIGMA 19 (2023), 071, 30 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862609691625914368 |
|---|---|
| author | Cork, Josh Harland, Derek |
| author_facet | Cork, Josh Harland, Derek |
| citation_txt | Geometry of Gauged Skyrmions. Josh Cork and Derek Harland. SIGMA 19 (2023), 071, 30 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | A work of Manton showed how skymions may be viewed as maps between Riemannian manifolds minimising an energy functional, with topologically non-trivial global minimisers given precisely by isometries. We consider a generalisation of this energy functional to gauged skyrmions, valid for a broad class of space and target 3-manifolds where the target is equipped with an isometric -action. We show that the energy is bounded below by an equivariant version of the degree of a map, describe the associated BPS equations, and discuss and classify solutions in the cases where = U(1) and = SU(2).
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| first_indexed | 2026-03-14T05:59:10Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212013 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-14T05:59:10Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Cork, Josh Harland, Derek 2026-01-22T09:17:48Z 2023 Geometry of Gauged Skyrmions. Josh Cork and Derek Harland. SIGMA 19 (2023), 071, 30 pages 1815-0659 2020 Mathematics Subject Classification: 53C07; 70S15; 53C43 arXiv:2303.02623 https://nasplib.isofts.kiev.ua/handle/123456789/212013 https://doi.org/10.3842/SIGMA.2023.071 A work of Manton showed how skymions may be viewed as maps between Riemannian manifolds minimising an energy functional, with topologically non-trivial global minimisers given precisely by isometries. We consider a generalisation of this energy functional to gauged skyrmions, valid for a broad class of space and target 3-manifolds where the target is equipped with an isometric -action. We show that the energy is bounded below by an equivariant version of the degree of a map, describe the associated BPS equations, and discuss and classify solutions in the cases where = U(1) and = SU(2). The authors would like to thank Nuno Romão for useful discussions during the early stages of this work. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Geometry of Gauged Skyrmions Article published earlier |
| spellingShingle | Geometry of Gauged Skyrmions Cork, Josh Harland, Derek |
| title | Geometry of Gauged Skyrmions |
| title_full | Geometry of Gauged Skyrmions |
| title_fullStr | Geometry of Gauged Skyrmions |
| title_full_unstemmed | Geometry of Gauged Skyrmions |
| title_short | Geometry of Gauged Skyrmions |
| title_sort | geometry of gauged skyrmions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212013 |
| work_keys_str_mv | AT corkjosh geometryofgaugedskyrmions AT harlandderek geometryofgaugedskyrmions |