YoVDO

Exactly Solvable 2D Conformal Field Theory - Lecture 2

Offered By: IPhT-TV via YouTube

Tags

Conformal Field Theory Courses Correlation Functions Courses Conformal Blocks Courses Liouville Theory Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Delve into the second lecture of a six-part course on exactly solvable two-dimensional conformal field theories (2D CFT). Explore fusion rules and fusion products, correlation functions, Ward identities, crossing symmetry, and conformal blocks. Learn about the bootstrap approach to 2D CFT and gain insights into known 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. Understand how local conformal symmetry and degenerate fields constrain the spectrum and correlation functions. Examine the crossing symmetry equations and their analytical or numerical solutions, leading to analytic formulas for structure constants. Discover the combinatorial description of correlation functions in loop models, inspired by lattice constructions of statistical models. Gain an overview of current challenges and future directions in solving these models. This comprehensive 2-hour and 9-minute lecture, delivered by Sylvain Ribault from IPhT, is part of the IPhT-TV series and provides a deep dive into the mathematical foundations and applications of exactly solvable 2D CFTs.

Syllabus

Sylvain Ribault (2024) Exactly solvable 2D CFT (2/6)


Taught by

IPhT-TV

Related Courses

Celestial Imprint of Bulk Geometries - Andrea Puhm
Kavli Institute for Theoretical Physics via YouTube
Holographic CFTs and Strongly Coupled AdS Matter - Alex Belin
Kavli Institute for Theoretical Physics via YouTube
The Distribution of Ground States in JT Gravity from Random Matrix Models - Clifford Johnson
Kavli Institute for Theoretical Physics via YouTube
Isometric Evolution in De Sitter Gravity - Kristan Jensen
Kavli Institute for Theoretical Physics via YouTube
Top-Down Topological Holography and Twists on Twistor Space - Natalie Paquette
Kavli Institute for Theoretical Physics via YouTube