连接SLE和迷你超空间刘维尔引力
Connecting SLE and minisuperspace Liouville gravity
摘要：
我们证明了弦SLE过程的Fokker-Planck方程在概率密度的简单重标度下可以追溯到二维Liouville引力中边界算子的小超空间Wheeler-de Witt方程。在WdW方程中插入一个算子，计算SLE临界指数，相当于增加了物质的贡献。这一观测结果可能有助于理解为什么SLE临界指数由KPZ引力标度维数给出。所得到的关系可能的应用进行了讨论。
英文摘要：
We show that Fokker-Planck equation for chordal SLE process under a simple rescaling of the probability density can be traced to the minisuperspace Wheeler-de Witt equation for boundary operator in 2d Liouville gravity. Insertion of an operator, calculating SLE critical exponent, corresponds to adding matter contribution to WdW equation. This observation may be useful for understanding of why SLE critical exponents are given by KPZ gravitational scaling dimensions. Possible applications of the obtained relation are discussed.
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