6 papers
Non-Abelian multiplicative chaos on the circle
Guillaume Baverez
In this note, we introduce a generalisation of multiplicative chaos measures which is both non-Gaussian and non-Abelian. The renormalisation procedure takes as inputs an irreducibl…
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…
Unitarising measures for Kac-Moody algebras
Guillaume Baverez
Given a compact connected Lie group with dual Coxeter number and a level , we introduce a probability measure on the space of holomorphic $\ma…
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…
Conformal welding and the matter--Liouville--ghost factorisation
Guillaume Baverez, Antoine Jego
We study the action of local conformal transformations on several measures related to the Gaussian free field and Schramm--Loewner evolutions. The main novelty of our work is a Cam…
Noise-like analytic properties of imaginary chaos
Juhan Aru, Guillaume Baverez, Antoine Jego +1
In this note we continue the study of imaginary multiplicative chaos , where is a two-dimensional continuum Gaussian free field. We concentrate here on the fi…