84 citations · 605 across the 68 of their papers we have counts for
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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…
Conformal Bootstrap for surfaces with boundary in Liouville CFT. Part II: spectral resolution and bootstrap
Colin Guillarmou, Rémi Rhodes, Baojun Wu
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 o…
Probabilistic construction of the -Wess-Zumino-Witten conformal field theory and correspondence with Liouville theory
Colin Guillarmou, Antti Kupiainen, Rémi Rhodes
Wess-Zumino-Witten (WZW) models are among the most basic and most studied Conformal Field Theories (CFT). They have had a huge influence not only in physics but also in mathematics…
Conformal Bootstrap for surfaces with boundary in Liouville CFT. Part 1: Segal axioms
Colin Guillarmou, Rémi Rhodes, Baojun Wu
This paper is the first part of the proof of the conformal bootstrap for Liouville conformal field theory on surfaces with a boundary, devoted to Segal's axioms in this context. We…
Review on the probabilistic construction and Conformal bootstrap in Liouville Theory
Colin Guillarmou, Antti Kupiainen, Rémi Rhodes
In the paper, we review the recent construction of the Liouville conformal field theory (CFT) from probabilistic methods, and the formalization of the conformal bootstrap. This mod…
Compactified Imaginary Liouville Theory
Colin Guillarmou, Antti Kupiainen, Rémi Rhodes
On a given Riemann surface, we construct a path integral based on the Liouville action functional with imaginary parameters. The construction relies on the compactified Gaussian Fr…