3 papers
math-ph2024
Conformal Bootstrap for surfaces with boundary in Liouville CFT. Part 1: Segal axioms
Colin Guillarmou, Rémi Rhodes, Baojun Wu
This paper is the first part of the proof of the conformal bootstrap for Liouville conformal field theory on surfaces with a boundary, devoted to Segal's axioms in this context. We…
math.PR2023
Higher equations of motion at level 2 in Liouville CFT
Guillaume Baverez, Baojun Wu
We prove conjectures of Zamolodchikov and Belavin-Belavin in Liouville conformal field theory (CFT), which are generalisations of the celebrated Belavin-Polyakov-Zamolodchikov equa…
math.PR2023
Irreducible Virasoro representations in Liouville conformal field theory
Guillaume Baverez, Baojun Wu
This paper studies the analytic continuation of Liouville eigenstates and shows that they assemble into irreducible highest-weight representations of the Virasoro algebra, for all…