6 papers
Ward identities: a geometric point of view and applications
Baojun Wu, Shengjing Xu
The work of Baverez, Guillarmou, Kupiainen, and Rhodes [BGKR24] is the starting point of this paper. It shows that analytic changes of boundary parametrizations act differentiably…
Exact solution of three-point functions in critical loop models
Morris Ang, Gefei Cai, Jesper Lykke Jacobsen +4
We propose an exact formula for three-point functions on the sphere in critical loop models with primary fields characterized by legs and a parameter \(s\) that de…
Asymptotics of - symbols and anti-de Sitter tetrahedra
Tianyue Liu, Shuang Ming, Xin Sun +2
In this paper, we study the asymptotics of the -symbols for the principal series of the modular double of , and of their analytic extensi…
Turaev-Viro invariant from the modular double of
Tianyue Liu, Shuang Ming, Xin Sun +2
We define a family of Turaev-Viro type invariants of hyperbolic -manifolds with totally geodesic boundary from the -symbols of the modular double of $\mathrm U_{q}\mathfrak{…
SLE Loop Measure and Liouville Quantum Gravity
Morris Ang, Gefei Cai, Xin Sun +1
As recently shown by Holden and two of the authors, the conformal welding of two Liouville quantum gravity (LQG) disks produces a canonical variant of SLE curve whose law is called…
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…