标题： Liouville理论中概率构造与共形bootstrap的综述 显示英文标题

标题： Review on the probabilistic construction and Conformal bootstrap in Liouville Theory

摘要： 在论文中，我们回顾了从概率方法出发的Liouville共形场论（CFT）的最新构造，以及共形bootstrap的公理化。 该模型为统一路径积分的概率构造、Segal的几何公理化以及共形bootstrap的表示理论内容提供了一个富有成效的平台。 我们解释并提取了这一非紧致CFT的构造和解决的主要步骤和思想。 显示英文摘要

摘要： In the paper, we review the recent construction of the Liouville conformal field theory (CFT) from probabilistic methods, and the formalization of the conformal bootstrap. This model has offered a fruitful playground to unify the probabilistic construction of the path integral, the geometric axiomatics of CFT by Segal and the representation theoretical content of the conformal bootstrap. We explain and extract the main steps and ideas behind the construction and resolution of this non-compact CFT.