142 citations · 682 across the 39 of their papers we have counts for
4 papers · 1 filter
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…
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…
Path integral for quantum Mabuchi K-energy
H. Lacoin, R. Rhodes, V. Vargas
We construct a path integral based on the coupling of the Liouville action and the Mabuchi K-energy on a one-dimensional complex manifold. To the best of our knowledge this is the…
Polyakov's formulation of bosonic string theory
Colin Guillarmou, Rémi Rhodes, Vincent Vargas
Using probabilistic methods, we first define Liouville quantum field theory on Riemann surfaces of genus and show that it is a conformal field theory. We use the…