Revisiting the Faddeev-Skyrme Model and Hopf Solitons

Abstract

We observe that the Faddeev-Skyrme model emerges as a low-energy limit of scalar QED with two charged scalar fields and a selfinteraction potential of a special form (inspired by supersymmetric QCD). Then we discuss possible Hopf solitons of the "twisted-toroidal" type.

20 pp., 3 figures; v.2: Two references added; v.3 An extra reference and two brief comments added

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• Kelvin knots in superconducting state
• Skyrmions and Hopfions in 3D Frustrated Magnets
• Condensates and instanton - torus knot duality. Hidden Physics at UV scale
• What Becomes of Semilocal non-Abelian Strings in $\mathcal{N}=1$ Supersymmetric QCD
• The Curious Case of an Effective Theory
• Supersymmetrising the GSY Soliton
• Heterotically Deformed Sigma Models on the World Sheet of Semilocal Strings in SQED
• Dynamics of non-Abelian strings in supersymmetric gauge theories