142 citations · 833 across the 42 of their papers we have counts for
50 papers
Two Decades of Probabilistic Approach to Liouville Conformal Field Theory
Rémi Rhodes, Vincent Vargas
Over the past twenty years, the probabilistic approach to Liouville Conformal Field Theory (LCFT) has undergone remarkable developments, transforming a collection of ideas at the i…
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…
Probabilistic construction of Toda conformal field theories
Baptiste Cerclé, Rémi Rhodes, Vincent Vargas
Following the 1984 seminal work of Belavin, Polyakov and Zamolodchikov on two-dimensional conformal field theories, Toda conformal field theories were introduced in the physics lit…
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…