Smirnov's O(n)-model interface conjecture

Fix $n\in[0,2]$ and consider the loop $O(n)$ model with an interface between boundary points $a$ and $b$. Smirnov's O(n)-model interface conjecture. For $z=1/\sqrt{2+\sqrt{2-n}}$, the interface converges, as the lattice spacing tends to zero, to

$$\mathrm{SLE}_\kappa\quad\text{with}\quad\kappa=\frac{4\pi}{2\pi-\arccos(-n/2)}.$$

For $z>1/\sqrt{2+\sqrt{2-n}}$, it converges to

$$\mathrm{SLE}_\kappa\quad\text{with}\quad\kappa=\frac{4\pi}{\arccos(-n/2)}.$$

This extends the proved $n=1$, $z=1/\sqrt{3}$ case, where the interface converges to $\mathrm{SLE}_3$; the other parameter regimes are presented as conjectural.