142 citations · 833 across the 42 of their papers we have counts for
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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…
Segal's axioms and bootstrap for Liouville Theory
Colin Guillarmou, Antti Kupiainen, Rémi Rhodes +1
In 1987 Graeme Segal gave a functorial definition of Conformal Field Theory (CFT) that was designed to capture the mathematical essence of the Conformal Bootstrap formalism pioneer…
Conformal bootstrap in Liouville Theory
Colin Guillarmou, Antti Kupiainen, Rémi Rhodes +1
The conformal bootstrap hypothesis is a powerful idea in theoretical physics which has led to spectacular predictions in the context of critical phenomena. It postulates an explici…
The semiclassical limit of Liouville conformal field theory
Hubert Lacoin, Rémi Rhodes, Vincent Vargas
A rigorous probabilistic construction of Liouville conformal field theory (LCFT) on the Riemann sphere was recently given by David-Kupiainen and the last two authors. In this paper…
A probabilistic approach of ultraviolet renormalisation in the boundary Sine-Gordon model
Hubert Lacoin, Rémi Rhodes, Vincent Vargas
The Sine-Gordon model is obtained by tilting the law of a log-correlated Gaussian field defined on a subset of by the exponential of its cosine, namely $\exp(α\s…
Lecture notes on Liouville theory and the DOZZ formula
Vincent Vargas
The purpose of these notes, based on a series of 4 lectures given by the author at IHES, is to explain the recent proof of the DOZZ formula for the three point correlation function…