YoVDO

Exactly Solvable 2D Conformal Field Theory - Lecture 4: Degenerate 4-Point Functions

Offered By: IPhT-TV via YouTube

Tags

Conformal Field Theory Courses Correlation Functions Courses Liouville Theory Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the fourth lecture in a six-part series on exactly solvable two-dimensional conformal field theories (2D CFTs). Delve into degenerate 4-point functions and discover analytic formulas for 2-point and 3-point structure constants. Learn how local conformal symmetry and the existence of degenerate fields constrain the spectrum and correlation functions in CFTs. Examine the crossing symmetry equations and their analytical and numerical solutions, leading to precise structure constant formulas. Investigate the bootstrap approach to 2D CFT and gain insights into various exactly solvable models, including Liouville theory, generalized minimal models, and loop models such as O(n), Potts, and U(n). Understand the combinatorial description of correlation functions in loop models, inspired by lattice constructions of statistical models. Discover the current state of research and remaining challenges in solving these models completely.

Syllabus

Sylvain Ribault (2024) Exactly solvable 2D CFT (4/6)


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