Geodesic
Geometry of Gauged Skyrmions
Symmetry, integrability and geometry: methods and applications, Tome 19 (2023) Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $G=\mathrm{SU}(2)$.
Keywords: topological solitons
Mots-clés : skyrmions, BPS equations. 
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     author = {Josh Cork and Derek Harland},
     title = {Geometry of {Gauged} {Skyrmions}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2023_19_a70/}
}
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Josh Cork; Derek Harland. Geometry of Gauged Skyrmions. Symmetry, integrability and geometry: methods and applications, Tome 19 (2023). http://geodesic.mathdoc.fr/item/SIGMA_2023_19_a70/

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