Global Minimality of the Hopf Map in the Faddeev–Skyrme Model with Large Coupling Constant
Abstract
Abstract We prove that, modulo rigid motions, the Hopf map is the unique minimizer of the Faddeev–Skyrme energy in its homotopy class, provided that the radius of the target 2-sphere is not smaller than the radius of the domain 3-sphere.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Geometry and complex manifolds
Quantum chaos and dynamical systems
Publication details
- Journal / source
- Communications in Mathematical Physics
- Volume
- 407
- Issue
- 8
- Publication date
- 9 July 2026
- Language
- EN