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arXiv · 2507.10686

Global minimality of the Hopf map in the Faddeev-Skyrme model with large coupling constant

André Guerra·Xavier Lamy·Konstantinos Zemas
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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.

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André Guerra, Xavier Lamy, Konstantinos Zemas. 2025-07-14. Global minimality of the Hopf map in the Faddeev-Skyrme model with large coupling constant. https://arxiv.org/abs/2507.10686

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