Planar UST Branches and $c=-2$ Degenerate Boundary Correlations
Planar UST Branches and $c=-2$ Degenerate Boundary Correlations
We provide a conformal field theory (CFT) description of the probabilistic model of boundary effects in the wired uniform spanning tree (UST) and its algebraic content, concerning the entire first row of the Kac table with central charge $c=-2$. Namely, we prove that all boundary-to-boundary connection probabilities for (potentially fused) …