• Corpus ID: 236965760

Uniform Spanning Tree in Topological Polygons, Partition Functions for SLE(8), and Correlations in $c=-2$ Logarithmic CFT

@inproceedings{Liu2021UniformST,
  title={Uniform Spanning Tree in Topological Polygons, Partition Functions for SLE(8), and Correlations in \$c=-2\$ Logarithmic CFT},
  author={Mingchang Liu and Eveliina Peltola and Hao-Ning Wu},
  year={2021}
}
We give a direct probabilistic construction for correlation functions in a logarithmic conformal field theory (log-CFT) of central charge $-2$. Specifically, we show that scaling limits of Peano curves in the uniform spanning tree in topological polygons with general boundary conditions are given by certain variants of the SLE$_\kappa$ with $\kappa=8$. We also prove that the associated crossing probabilities have conformally invariant scaling limits, given by ratios of explicit SLE$_8… 
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