Schramm's conformal invariance conjecture for planar random-cluster interfaces

Fix $q\le 4$ and $p=p_c$. Let $(\Omega_\delta,a_\delta,b_\delta)$ be Dobrushin domains approximating a simply connected domain ${\bf \Omega}$ with marked boundary points ${\bf a}$ and ${\bf b}$, and let $\sigma$ be the parameter used in the source. Schramm's conformal invariance conjecture. The exploration path $\gamma_{(\Omega_\delta,a_\delta,b_\delta)}$ converges weakly, as $\delta$ tends to zero, to $\mathsf{SLE}(\kappa)$, where

$$\kappa=\frac{8}{\sigma+1}=\frac{4\pi}{\pi-\arccos(\sqrt q/2)}.$$

This is the predicted conformally invariant scaling limit for critical planar random-cluster interfaces; the source presents it as open and notes that the relevant values range from $4$ at $q=4$ to $8$ at $q=0$.