Liouville Theory Courses and Certifications

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Celestial and Carrollian Amplitudes and Celestial Liouville Theory

Explore celestial and Carrollian amplitudes in gauge, gravitational, and string theories, and their connection to celestial Liouville theory on non-trivial backgrounds.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Institute for Advanced Study

The Complex Liouville String - Introduction to a New 2D Gravity/Matrix Integral Duality

Explore a new 2D gravity/matrix integral duality through the complex Liouville string, connecting two-dimensional string theory with dilaton gravity and cosmological correlators in dS3.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

IPhT-TV

Exactly Solvable 2D Conformal Field Theory - Lecture 2

Explore fusion rules, correlation functions, and crossing symmetry in 2D CFT. Delve into exactly solvable models, degenerate fields, and analytical solutions for structure constants.

• YouTube
• 2 hours 9 minutes
• On-Demand
• Free Video

IPhT-TV

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

Explore degenerate 4-point functions and analytic formulas for 2-point and 3-point structure constants in exactly solvable 2D conformal field theories. Gain insights into bootstrap approach and local conformal symmetry.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Video

IPhT-TV

Exactly Solvable 2D Conformal Field Theory - Lecture 3

Explore two-dimensional conformal field theory, focusing on exactly solvable models. Delve into degenerate fields, spectrum constraints, and analytical solutions for structure constants in various models.

• YouTube
• 2 hours 5 minutes
• On-Demand
• Free Video

IPhT-TV

Exactly Solvable 2D Conformal Field Theory - Lecture 1: The Virasoro Algebra and Its Representations

Explore two-dimensional conformal field theory, focusing on Virasoro algebra, representations, and operator product expansions. Gain insights into exactly solvable CFTs and their applications.

• YouTube
• 2 hours 8 minutes
• On-Demand
• Free Video

IPhT-TV

Exactly Solvable 2D Conformal Field Theory - Correlation Functions in Loop Models - Lecture 6

Explore correlation functions in loop models, including O(n), Potts, and U(n) models. Learn about combinatorial descriptions and lattice constructions in statistical models.

• YouTube
• 1 hour 45 minutes
• On-Demand
• Free Video

IPhT-TV

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

Explore advanced concepts in 2D conformal field theory, focusing on computing conformal blocks and numerical bootstrap techniques. Gain insights into exactly solvable CFTs and their applications.

• YouTube
• 2 hours 10 minutes
• On-Demand
• Free Video

NCCR SwissMAP

Probabilistic Approach to Liouville Theory

Explore probabilistic approaches to Liouville theory in conformal field theory, focusing on integrable, probabilistic, and supersymmetric methods.

• YouTube
• 1 hour 54 minutes
• On-Demand
• Free Video

NCCR SwissMAP

From Liouville to Painlevé and Heun via CFT/Isomonodromy Relation

Explore conformal field theory through integrable, probabilistic, and supersymmetric perspectives, connecting Liouville theory to Painlevé and Heun equations.

• YouTube
• 1 hour 37 minutes
• On-Demand
• Free Video

NCCR SwissMAP

Introduction to Liouville Theory - Lecture 1

Explore conformal field theory through integrable, probabilistic, and supersymmetric approaches in Liouville Theory.

• YouTube
• 2 hours 2 minutes
• On-Demand
• Free Video

NCCR SwissMAP

Heun Connection Matrix from Liouville Conormal Blocks and Darboux Theorem

Explore the Heun connection matrix, Liouville conormal blocks, and Darboux theorem in the context of quantizing moduli spaces.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

IPhT-TV

Liouville Theory: From Segal's Axioms to Conformal Blocks - 2023

Explorez la théorie de Liouville, des axiomes de Segal aux blocs conformes, dans cette conférence approfondie sur la physique théorique et la géométrie conforme.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

BIMSA

Building Space-time with BCFT Legos - ICBS 2024

Explore quantum gravity duals of CFTs through conformal bootstrap, topological symmetries, and tensor networks. Discover how 2D Liouville theory illustrates building quantum gravitational path integrals using BCFT correlations.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video