# FZZ formula of boundary Liouville CFT via conformal welding

@inproceedings{Ang2021FZZFO, title={FZZ formula of boundary Liouville CFT via conformal welding}, author={Morris Ang and Guillaume Remy and Xin Sun}, year={2021} }

Liouville Conformal Field Theory (LCFT) on the disk describes the conformal factor of the quantum disk, which is the natural random surface in Liouville quantum gravity with disk topology. Fateev, Zamolodchikov and Zamolodchikov (2000) proposed an explicit expression, the so-called the FZZ formula, for the one-point bulk structure constant for LCFT on the disk. In this paper we give a proof of the FZZ formula in the probabilistic framework of LCFT, which represents the first step towards…

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