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We consider critical planar Ising model in annulus with alternating boundaryconditions on the outer boundary and free boundary conditions in the innerboundary. As the size of the inner hole goes to zero, the event that allinterfaces get close to the inner hole before they meet each other is a rareevent. We prove that the law of the collection of the interfaces conditional onthis rare event converges in total variation distance to the so-called$2N$-sided radial SLE$_3$, introduced by~[HL21]. The proof relies crucially onan estimate for multiple chordal SLE. Suppose $(\gamma_1, \ldots, \gamma_N)$ ischordal $N$-SLE$_{\kappa}$ with $\kappa\in (0,4]$ in the unit disc, and weconsider the probability that all $N$ curves get close to the origin. We provethat the limit $\lim_{r\to0+}r^{-A_{2N}}\mathbb{P}[\mathrm{dist}(0,\gamma_j)<r, 1\le j\le N]$ exists,where $A_{2N}$ is the so-called $2N$-arm exponents and $\mathrm{dist}$ isEuclidean distance. We call the limit Green's function for chordal$N$-SLE$_{\kappa}$. This estimate is a generalization of previous conclusionswith $N=1$ and $N=2$ proved in~[LR12, LR15] and~[Zha20] respectively.

Multiple Ising interfaces in annulus and $2N$-sided radial SLE