Freedman–He–Wang conjecture for Möbius cross energy of links

Let $(\gamma_1,\gamma_2)$ be a nontrivial $2$-component link in $\mathbb R^3$, and let its Möbius cross energy be

$$E(\gamma_1,\gamma_2)=\int_{S^1\times S^1}\frac{|\gamma_1'(s)||\gamma_2'(t)|}{|\gamma_1(s)-\gamma_2(t)|^2}\,ds\,dt.$$

Freedman–He–Wang conjecture. The Möbius energy is minimized, among the class of all nontrivial links in $\mathbb R^3$, by the stereographic projection of the standard Hopf link in $S^3$. This is a conformally invariant variational problem for links, motivated by the lower bound in terms of linking number. The source presents the minimizing-link assertion as an open conjecture.