Connection Probabilities for Loop O(N) Models and BPZ Equations
Time: 2025-03-10
Published By: Xiaoni Tan
Speaker(s): Hao Wu (Tsinghua University, China)
Time: 09:00-09:50 March 12, 2025
Venue: Online
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.
Zoom Meeting ID: 181 155 584