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Jul 9, 2019 at 14:16 comment added Elle Najt It seems that a two-point function is known for $SLE_{8/3}$. Theorem 2.1 here arxiv.org/pdf/1012.5206.pdf . So I think in this case one can compute the variance as well.
Jun 7, 2019 at 0:59 vote accept Elle Najt
Jun 5, 2019 at 20:48 history answered Kostya_I CC BY-SA 4.0