Quantum integrable systems, conformal field theories and stochastic processes

Liouville Conformal Field Theory: A Probabilistic Approach

Non programmé

3h 20m

Institut d'Études Scientifiques de Cargèse

Orateur

Antti Kupiainen (University of Helsinki)

Description

The course gives an introduction to a probabilistic approach to Liouville Conformal Field Theory developed together with David, Rhodes and Vargas. Contents: 1. Scaling limits of random surfaces and Liouville model 2. Gaussian Free Field and Multiplicative Chaos 3. Liouville QFT on the 2-Sphere 4. Möbius and Weyl invariance 5. Vertex opeartors and Seiberg bounds 6. Energy-momentum tensor and Conformal Ward Identities 7. Quantum Mechanical Hilbert Space and Virasoro Algebra 8. Spectrum, DOZZ formula and other challenges

Documents de présentation

notes

Kupiainen.pdf