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math.PR2021★ 10 cited
FZZ formula of boundary Liouville CFT via conformal welding
Morris Ang, Guillaume Remy, Xin Sun
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 t…
math.PR2021
Integrability of SLE via conformal welding of random surfaces
Morris Ang, Nina Holden, Xin Sun
We demonstrate how to obtain integrable results for the Schramm-Loewner evolution (SLE) from Liouville conformal field theory (LCFT) and the mating-of-trees framework for Liouville…