Ising crossing-probability conjecture for alternating boundary conditions

Let $(\Omega^{\delta};x_1^{\delta},\ldots,x_{2N}^{\delta})$ approximate a polygon $(\Omega;x_1,\ldots,x_{2N})$, and let $\mathcal{A}^{\delta}\in\mathrm{LP}_N$ be the link pattern formed by the macroscopic interfaces of the critical Ising model with alternating boundary conditions. For $\alpha\in\mathrm{LP}_N$, let $\mathcal{Z}_{\alpha}$ be the pure multiple-SLE partition functions at $\kappa=3$, and define

$$\mathcal{Z}^{(N)}_{\mathrm{Ising}}(\Omega;x_1,\ldots,x_{2N})=\sum_{\alpha\in\mathrm{LP}_N}\mathcal{Z}_{\alpha}(\Omega;x_1,\ldots,x_{2N}).$$

Ising crossing-probability conjecture. The crossing probabilities converge according to

$$\lim_{\delta\to 0}\mathbb{P}[\mathcal{A}^{\delta}=\alpha]=\frac{\mathcal{Z}_{\alpha}(\Omega;x_1,\ldots,x_{2N})}{\mathcal{Z}^{(N)}_{\mathrm{Ising}}(\Omega;x_1,\ldots,x_{2N})}.$$

For $N=2$, this limit was previously derived; the conjecture extends the expected formula to arbitrary $N$ and identifies the scaling-limit connectivity weights with the pure multiple-SLE partition functions.