Constructive Liouville Conformal Field Theory

Abstract

These lectures give an introduction to a probabilistic approach to Liouville Quantum Field Theory developed in a joint work with F. David, R. Rhodes and V. Vargas.

Lectures at the Cargese summer school "Quantum integrable systems, conformal field theories and stochastic processes"

References in corpus (3)

• On the Liouville three-point function
• Conformal field theory on the plane
• Gaussian multiplicative chaos and applications: a review

Cited by in corpus (6)

• Lecture notes on Liouville theory and the DOZZ formula
• Integrability of Liouville theory: proof of the DOZZ Formula
• Stochastic Ricci Flow on Compact Surfaces
• Stress-Energy in Liouville Conformal Field Theory
• Path integral approach to analytic continuation of Liouville theory: the pencil region
• Stress-Energy in Liouville Conformal Field Theory on Compact Riemann Surfaces