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math.PR2026
String equation for conformal loop ensemble on Liouville quantum gravity sphere
Xin Sun, Baojun Wu, Shengjing Xu
Matrix models express partition functions of random surfaces with prescribed boundary lengths through string equations. We give a probabilistic realization of this structure in Lio…
cond-mat.stat-mech2026
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…