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For a chordal SLE$_\kappa$ ($\kappa\in(0,8)$) curve in a domain $D$, the $n$-point Green's function valued at distinct points $z_1,\dots,z_n\in D$ is defined to be $$G(z_1,\dots,z_n)=\lim_{r_1,\dots,r_n\downarrow 0} \prod_{k=1}^n r_k^{d-2} \mathbb{P}[\mbox{dist}(\gamma,z_k)<r_k,1\le k\le n],$$ where $d=1+\frac{\kappa}{8}$ is the Hausdorff dimension of SLE$_\kappa$, provided that the limit converges.
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