46 citations · 292 across the 35 of their papers we have counts for
45 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…
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…
Permutons, meanders, and SLE-decorated Liouville quantum gravity
Jacopo Borga, Ewain Gwynne, Xin Sun
We study a class of random permutons which can be constructed from a pair of space-filling Schramm-Loewner evolution (SLE) curves on a Liouville quantum gravity (LQG) surface. This…
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…
Baxter permuton and Liouville quantum gravity
Jacopo Borga, Nina Holden, Xin Sun +1
The Baxter permuton is a random probability measure on the unit square which describes the scaling limit of uniform Baxter permutations. We find an explict formula for the expectat…