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<p>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.</p>

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Global Minimality of the Hopf Map in the Faddeev–Skyrme Model with Large Coupling Constant

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月9日

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  • André Guerra,
  • Xavier Lamy,
  • Konstantinos Zemas

摘要

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.