14 citations · 44 across the 13 of their papers we have counts for
16 papers
Critical Liouville quantum gravity and CLE
Morris Ang, Ewain Gwynne
Consider a critical () Liouville quantum gravity (LQG) disk together with an independent conformal loop ensemble (CLE) with parameter . We show that the critical LQG surf…
Supercritical Liouville quantum gravity and CLE
Morris Ang, Ewain Gwynne
We establish the first relationship between Schramm-Loewner evolution (SLE) and Liouville quantum gravity (LQG) in the supercritical (a.k.a. strongly coupled) phase, which correspo…
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…
Liouville conformal field theory and the quantum zipper
Morris Ang
Sheffield showed that conformally welding a -Liouville quantum gravity (LQG) surface to itself gives a Schramm-Loewner evolution (SLE) curve with parameter as the inter…
Quantum triangles and imaginary geometry flow lines
Morris Ang, Xin Sun, Pu Yu
We define a three-parameter family of random surfaces in Liouville quantum gravity (LQG) which can be viewed as the quantum version of triangles. These quantum triangles are natura…
The SLE loop via conformal welding of quantum disks
Morris Ang, Nina Holden, Xin Sun
We prove that the SLE loop measure arises naturally from the conformal welding of two -Liouville quantum gravity (LQG) disks for . The proof relies on our…
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…
Integrability of Conformal Loop Ensemble: Imaginary DOZZ Formula and Beyond
Morris Ang, Gefei Cai, Xin Sun +1
The scaling limit of the probability that points are on the same cluster for 2D critical percolation is believed to be governed by a conformal field theory (CFT). Although this…
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…
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…
Conformal welding of quantum disks
Morris Ang, Nina Holden, Xin Sun
Two-pointed quantum disks with a weight parameter are a family of finite-area random surfaces that arise naturally in Liouville quantum gravity. In this paper we show that…
Brownian loops and the central charge of a Liouville random surface
Morris Ang, Minjae Park, Joshua Pfeffer +1
We explore the geometric meaning of the so-called zeta-regularized determinant of the Laplace-Beltrami operator on a compact surface, with or without boundary. We relate the $(-c/2…
Large deviations of radial SLE
Morris Ang, Minjae Park, Yilin Wang
We derive the large deviation principle for radial Schramm-Loewner evolution () on the unit disk with parameter . Restricting to the time i…
Volume of metric balls in Liouville quantum gravity
Morris Ang, Hugo Falconet, Xin Sun
We study the volume of metric balls in Liouville quantum gravity (LQG). For , it has been known since the early work of Kahane (1985) and Molchan (1996) that the LQG vo…
Comparison of discrete and continuum Liouville first passage percolation
Morris Ang
Discrete and continuum Liouville first passage percolation (DLFPP, LFPP) are two approximations of the conjectural -Liouville quantum gravity (LQG) metric, obtained by exponenti…
Liouville quantum gravity surfaces with boundary as matings of trees
Morris Ang, Ewain Gwynne
For , the quantum disk and -quantum wedge are two of the most natural types of Liouville quantum gravity (LQG) surfaces with boundary. These surfaces arise as scalin…