6 citations · 16 across the 12 of their papers we have counts for
13 papers
Virasoro Conformal Blocks and modular functor from Liouville CFT
Guillaume Baverez, Colin Guillarmou, Antti Kupiainen +2
In this article, we give a global construction of the Virasoro conformal blocks on Teichmüller space of Riemann surfaces of genus with marked points, when the central charg…
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…
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 $\mathf…
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…
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 construct…
Semigroup of annuli in Liouville CFT
Guillaume Baverez, Colin Guillarmou, Antti Kupiainen +1
In conformal field theory, the semigroup of annuli with boundary parametrisation plays a special role, in that it generates the whole algebra of local conformal symmetries, the so-…
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…
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…
The Virasoro structure and the scattering matrix for Liouville conformal field theory
Guillaume Baverez, Colin Guillarmou, Antti Kupiainen +2
In this work, we construct a representation of the Virasoro algebra in the canonical Hilbert space associated to Liouville conformal field theory. The study of the Virasoro operato…
On the -regularity of SLE
Guillaume Baverez
We prove that the welding homeomomorphism of SLE is almost surely -regular. In a previous version of this work, we had erroneously deduced its removability from this prop…
Fusion asymptotics for Liouville correlation functions
Guillaume Baverez, Mo Dick Wong
David-Kupiainen-Rhodes-Vargas introduced a probabilistic framework based on the Gaussian Free Field and Gaussian Multiplicative Chaos in order to make sense rigorously of the path…
Modular bootstrap agrees with path integral in the large moduli limit
Guillaume Baverez
Based on the rigorous path integral formulation of Liouville Conformal Field Theory initiated by David-Kupiainen-Rhodes-Vargas on the Riemann sphere and David-Rhodes-Vargas on the…