Skyrme–Faddeev Instantons on Complex Surfaces

Slobodeanu, Radu; Svensson, Martin

doi:10.1007/s00220-014-2182-y

Cited by 7 publications

(1 citation statement)

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“…Interestingly, and to the best of our knowledge unbeknown to the authors of [4], a couple of years earlier Skyrme had used one of those "other types of energy" as a constituent of a mathematically tractable model for the nucleon [23]. The 'skyrmion' model has since gained popularity in the physics and mathematical physics communities; see for example [6,10,24,25,35]. However, despite this, and intense interest in the theory of harmonic maps, so far there has been little work on establishing a general theory of the "other types of energy" mentioned in [4].…”

Section: Introductionmentioning

confidence: 99%

Higher-power harmonic maps and sections

Ramachandran¹,

Wood²

2019

Preprint

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The variational theory of higher-power energy is developed for mappings between Riemannian manifolds, and more generally sections of submersions of Riemannian manifolds, and applied to sections of Riemannian vector bundles and their sphere subbundles. A complete classification is then given for left-invariant vector fields on 3-dimensional unimodular Lie groups equipped with an arbitrary left-invariant Riemannian metric.

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Section: Introductionmentioning

confidence: 99%

Higher-power harmonic maps and sections

Ramachandran¹,

Wood²

2019

Preprint

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$$\sigma _2$$ σ 2 -Diffeomorphisms between 4-dimensional annuli

Chen

Wang

2016

Calc. Var.

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Higher-power harmonic maps and sections

Ramachandran

Wood

2022

Ann Glob Anal Geom

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The variational theory of higher-power energy is developed for mappings between Riemannian manifolds, and more generally sections of submersions of Riemannian manifolds, and applied to sections of Riemannian vector bundles and their sphere subbundles. A complete classification is then given for left-invariant vector fields on three-dimensional unimodular Lie groups equipped with an arbitrary left-invariant Riemannian metric.

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Skyrme–Faddeev Instantons on Complex Surfaces

Abstract: We find stable solutions from various complex surfaces for the σ 2 -energy functional. They can be interpreted as instantons for the strong coupling limit of the Skyrme-Faddeev sigma model.

Cited by 7 publications

References 20 publications

Higher-power harmonic maps and sections

Higher-power harmonic maps and sections

$$\sigma _2$$ σ 2 -Diffeomorphisms between 4-dimensional annuli

Higher-power harmonic maps and sections

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