7 papers · 1 filter
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…
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…
The CFT of SLE loop measures and the Kontsevich--Suhov conjecture
Guillaume Baverez, Antoine Jego
This paper initiates the study of the conformal field theory of the SLE loop measure for , the range where the loop is almost surely simple. First, we constru…