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math-ph2026
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…
math.PR2026
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…
math.RT2026
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…