We consider metric graph Gaussian free field (GFF) defined on polygons of with alternating boundary data. The crossing probabilities for level-set percolation of metric graph GFF have scaling limits. When the boundary data is well-chosen, the scaling limits of crossing probabilities can be explicitly constructed as “fusion” of multiple SLE pure partition functions.
Supported by Beijing Natural Science Foundation (JQ20001, Z180003) and Thousand Talents Plan for Young Professionals.
We acknowledge Jian Ding, Titus Lupu, and Mateo Wirth for helpful discussion on GFF. We acknowledge Eveliina Peltola for stimulating discussion about partition functions for multiple SLEs. We acknowledge the referee for careful comments which improved the presentation and provided deep insight into CFT.
"Scaling limits of crossing probabilities in metric graph GFF." Electron. J. Probab. 26 1 - 46, 2021. https://doi.org/10.1214/21-EJP598