Conformal Field Theory Basics

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Related lectures (30)

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FK-Percolation and the Six-Vertex Model: Critical Phenomena

Covers the transition from the six-vertex model to FK-percolation, focusing on critical phenomena and phase transitions in two-dimensional systems.

Gauge Theories: Chiral Transformations and Path Integrals

Covers the gauged Wess-Zumino-Witten model and its applications in conformal field theory.

Conformal Ward Identities

Covers the stress tensor, Weyl invariance, and the integral form of conformal Ward identities.

Weakly Coupled QFT in AdS

Explores weakly coupled quantum field theory in AdS, including state-operator correspondence and semiclassical gravity.

Light-ray Operators: Generalization and Applications

Covers light-ray operators in conformal field theory and their properties, including the Null Energy Condition and connections to Lorentz inversion formulas.

Unitarity Bounds: Operator Product Expansion

Covers unitarity bounds, operator product expansion, conformal blocks, and the conformal bootstrap in conformal field theory.

Conformal Field Theory: Exercises

Covers exercises on Conformal Field Theory, including Casimir operators and Lorentz generators.

Conformal Loop Ensembles: Connections to CFT

Explores the relationship between conformal loop ensembles and conformal field theory, focusing on the three-point nesting function and its mathematical derivation.

Ward Identities and Symmetries

Delves into Ward identities, symmetries, conserved currents, and conformal symmetry, exploring their implications on correlators and quantum models.

Conformal Blocks: Functions on Moduli Spaces

Covers conformal blocks and their significance in complex structures and moduli spaces.