Decomposition of Hypergeometric SLE and Reversibility

In this paper, we consider hypergeometric SLE process for $κ\in (4,8)$ and $ν>\fracκ{2}-6$. Though the definition of hypergeometric SLE process is complicated, we show that given its hitting point on a specific boundary, its conditional law can be described by SLE$_κ(\underlineρ)$ process. Based on this observation, by constructing a pair of curves, we derive the reversibility of hypergeometric SLE for $κ\in(4,8)$ and $ν>-2$.

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