Author

C. Guillarmou

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Preprint Oct 2026

Conformal Bootstrap for surfaces with boundary in Liouville CFT. Part II: spectral resolution and bootstrap

This paper is the second part of the proof of the conformal bootstrap for Liouville conformal field theory on compact surfaces with boundary. It is devoted to the spectral theory of the half-annulus semigroup and to the resulting bootstrap formula. Building on the Segal axioms and gluing properties established in Part~...

C. Guillarmou, R'emi Rhodes, Bao-Jun Wu · 0 citations

Preprint Oct 2026

Virasoro Conformal Blocks and modular functor from Liouville CFT

In this article, we give a global construction of the Virasoro conformal blocks on Teichm\"uller space of Riemann surfaces of genus $g$ with $m$ marked points, when the central charge is $c>25$. We prove that they are global holomorphic sections of a holomorphic line bundle and they satisfy the Ward identity, which enc...

Guillaume Baverez, C. Guillarmou, Antti Kupiainen et al. · 0 citations