Static Hopfion solutions of the extended Skyrme-Faddeev model

Abstract

We construct non-axially symmetric static soliton solutions, with non-zero topological charges, of an extension of the Skyrme-Faddeev model. The model has an extra quartic-derivative term and we choose its coupling to the Skyrme-term to be negative. We solve the full equations of motion to find numerical solutions with topological charge up to seven and find that the model favours large ring-like solutions.

9 pages, 16 figures

References in corpus (3)

• Knots in the Skyrme-Faddeev model
• Hopf solitons and elastic rods
• Static Hopfions in the extended Skyrme-Faddeev model

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