• Corpus ID: 211097058

Integrability of boundary Liouville conformal field theory

  title={Integrability of boundary Liouville conformal field theory},
  author={Guillaume Remy and Tunan Zhu},
  journal={arXiv: Probability},
  • G. Remy, T. Zhu
  • Published 13 February 2020
  • Mathematics
  • arXiv: Probability
Liouville conformal field theory (LCFT) is considered on a simply connected domain with boundary, specializing to the case where the Liouville potential is integrated only over the boundary of the domain. We work in the probabilistic framework of boundary LCFT introduced by Huang-Rhodes-Vargas (2015). Building upon the known proof of the bulk one-point function by the first author, exact formulas are rigorously derived for the remaining basic correlation functions of the theory, i.e., the bulk… 

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