|
Geometry of Gauged Skyrmions
Josh Corka, Derek Harlandb a School of Computing and Mathematical Sciences, University of Leicester,
University Road, Leicester, UK
b School of Mathematics, University of Leeds, Woodhouse Lane, Leeds, UK
Аннотация:
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 $G$-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 $G=\mathrm{U}(1)$ and $G=\mathrm{SU}(2)$.
Ключевые слова:
skyrmions, topological solitons, BPS equations.
Поступила: 12 марта 2023 г.; в окончательном варианте 14 сентября 2023 г.; опубликована 1 октября 2023 г.
Образец цитирования:
Josh Cork, Derek Harland, “Geometry of Gauged Skyrmions”, SIGMA, 19 (2023), 071, 30 pp.
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/sigma1966 https://www.mathnet.ru/rus/sigma/v19/p71
|
Статистика просмотров: |
Страница аннотации: | 41 | PDF полного текста: | 4 | Список литературы: | 10 |
|