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Connection Probabilities for Loop O(N) Models and BPZ Equations
发布时间：2025年03月10日
浏览次数：2211
发布者: Xiaoni Tan
Abstract: Critical loop O(n) models are conjectured to be conformally invariant in the scaling limit. In this talk, we focus on connection probabilities for loop O(n) models in polygons. Such probabilities can be predicted using two families of solutions to Belavin-Polyakov-Zamolodchikov (BPZ) equations: Coulomb gas integrals and SLE pure partition functions. The conjecture is proved to be true for the critical Ising model, FK-Ising model, percolation, and uniform spanning tree. 延伸阅读
Zoom Meeting ID: 181 155 584
