标题： 随机簇模型中的共形不变性。 II. 作为分支SLE的完整标度极限 显示英文标题

标题： Conformal invariance in random cluster models. II. Full scaling limit as a branching SLE

摘要： 在本系列的第二篇文章中，我们建立了随机簇伊辛模型中界面环集的收敛性，使其趋于一个共形环集（CLE）——从而完全描述了该模型在界面随机几何方面的标度极限。 本文的核心工具是离散环集的探索树收敛到一个分支SLE$(16/3,-2/3)$。 这种分支版本的施拉姆SLE不仅具有局部性性质，而且从伊辛模型可观测量中逻辑地产生。 显示英文摘要

摘要： In the second article of this series, we establish the convergence of the loop ensemble of interfaces in the random cluster Ising model to a conformal loop ensemble (CLE) --- thus completely describing the scaling limit of the model in terms of the random geometry of interfaces. The central tool of the present article is the convergence of an exploration tree of the discrete loop ensemble to a branching SLE$(16/3,-2/3)$. Such branching version of the Schramm's SLE not only enjoys the locality property, but also arises logically from the Ising model observables.