4 problems

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Faddeev–Niemi conjecture on the low-energy Yang–Mills effective action
The Skyrme–Faddeev model is a theory in $(3+1)$ -dimensional Minkowski space-time whose field is a unit vector ${\vec n}$ taking values on $S^2$ , with a quadratic kinetic term and a…
Conjecturerefutedskyrme-faddeev-model solitons yang-mills-theoryarXiv posted 2 days ago
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The strengthened Vakulenko–Kapitansky bound for Hopf solitons
Strengthened Hopf energy bound. The stronger bound with $C=1$ holds:
Conjectureopenhopf-solitons skyrme-faddeev-model topological-energy-boundsarXiv posted 2 days ago
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The elastic-rod conjecture for Skyrme–Faddeev solitons
The Skyrme–Faddeev model is a field theory whose solitons are studied here, and Kirchhoff elastic rods provide an effective model for elastic rod configurations. Elastic-rod conjec…
Conjectureopenelastic-rods skyrme-faddeev-model solitonsarXiv posted 2 days ago
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The Skyrme–Faddeev model's Yang–Mills low-energy conjecture
The Skyrme–Faddeev (SF) model is a four-dimensional field theory with finite-energy knot solitons carrying a topological charge given by the Hopf map $S^3\to S^2$ . Skyrme–Faddeev Y…
Conjectureopenskyrme-faddeev-model topological-solitons yang-mills-theoryarXiv posted 2 days ago

Faddeev–Niemi conjecture on the low-energy Yang–Mills effective action