39 citations · 111 across the 9 of their papers we have counts for
9 papers
Derivation of all structure constants for boundary Liouville CFT
Morris Ang, Guillaume Remy, Xin Sun +1
We prove that the probabilistic definition of the most general boundary three-point and bulk-boundary structure constants in Liouville conformal field theory (LCFT) agree respectiv…
The moduli of annuli in random conformal geometry
Morris Ang, Guillaume Remy, Xin Sun
We obtain exact formulae for three basic quantities in random conformal geometry that depend on the modulus of an annulus. The first is for the law of the modulus of the Brownian a…
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…
Probabilistic conformal blocks for Liouville CFT on the torus
Promit Ghosal, Guillaume Remy, Xin Sun +1
Virasoro conformal blocks are a family of important functions defined as power series via the Virasoro algebra. They are a fundamental input to the conformal bootstrap program for…
Integrability of boundary Liouville conformal field theory
Guillaume Remy, Tunan Zhu
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…
Liouville quantum gravity with matter central charge in : a probabilistic approach
Ewain Gwynne, Nina Holden, Joshua Pfeffer +1
There is a substantial literature concerning Liouville quantum gravity (LQG) in two dimensions with conformal matter field of central charge ${\mathbf{c}}_{\mathrm M}\in(-\infty,1]…
The distribution of Gaussian multiplicative chaos on the unit interval
Guillaume Remy, Tunan Zhu
We consider a sub-critical Gaussian multiplicative chaos (GMC) measure defined on the unit interval [0,1] and prove an exact formula for the fractional moments of the total mass of…
Liouville quantum gravity on the annulus
Guillaume Remy
In this work we construct Liouville quantum gravity on an annulus in the complex plane. This construction is aimed at providing a rigorous mathematical framework to the work of the…
The Fyodorov-Bouchaud formula and Liouville conformal field theory
Guillaume Remy
In a remarkable paper in 2008, Fyodorov and Bouchaud conjectured an exact formula for the density of the total mass of (sub-critical) Gaussian multiplicative chaos (GMC) associated…