Exactly Solvable 2D Conformal Field Theory - Computing Conformal Blocks and Numerical Bootstrap - Lecture 5

Delve into the fifth installment of a comprehensive course on exactly solvable two-dimensional conformal field theories (2D CFTs). Focus on computing conformal blocks and exploring the numerical bootstrap method. Learn about the bootstrap approach to 2D CFT and gain insights into various exactly solvable CFTs without extended chiral symmetry, including Liouville theory, generalized minimal models, and loop models such as O(n), Potts, and U(n) models. Examine how local conformal symmetry and degenerate fields constrain the spectrum and correlation functions. Investigate crossing symmetry equations and their analytical or numerical solutions, leading to analytic formulas for structure constants. Explore the combinatorial description of correlation functions in loop models, inspired by lattice constructions of statistical models. Gain an understanding of current research frontiers in solving these models. This 2-hour and 10-minute lecture, delivered by Sylvain Ribault from IPhT, is part of the IPhT-TV series and was recorded on March 29, 2024.