Conformal Field Theory Basics

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Related lectures (38)

Easing Model Conformal Theory: Scaling Limits and Correlations

Covers the Easing model conformal theory, focusing on scaling limits and correlation functions.

Operator Product Expansion

Explores Operator Product Expansion (OPE) and its role in Conformal Bootstrap.

Conformal Transformations: Part 1

Covers the topic of conformal transformations, including translations, dilations, rotations, and the conformal algebra.

Local Fields and Correlations in Ising Models

Covers local fields and correlations in Ising models and conformal field theory.

Quantum Field Theory in AdS: State-Operator Correspondence

Covers the study of free particle quantum mechanics in AdS and the State-Operator Correspondence in AdS.

Statistical Models: Unitary Conformal Field Theories

Covers the connection between statistical models and unitary conformal field theories, focusing on critical points and the role of local fields.

Large N CFT: AdS/CFT Correspondence

Discusses the AdS/CFT correspondence and its implications for Large N CFT.

Lecture 5: Conformal Transformations

Explores Conformal Transformations, emphasizing scale transformations and correlation functions.

Conformal Field Theory: Generators and Commutation Relations

Covers the definition of generators of the conformal group and the application of Wick's theorem.

Conformal Transformations: Symmetries and Correlation Functions

Explores conformal transformations and correlation functions in quantum field theory, emphasizing symmetry preservation and fixed correlation functions.

Dotsenko-Fateev Approach: Correlation Functions in Quantum Field Theory

Covers the Dotsenko-Fateev approach to computing correlation functions in quantum field theory.

Correlation Functions in Loop Models: Structural Assumptions

Covers correlation functions in loop models and the role of degenerate fields in conformal field theory.

Singular Vectors in Liouville CFT: Representation Theory Insights

Covers singular vectors in Liouville CFT, focusing on representation theory and their implications in mathematical physics.

Renormalization & Scaling

Explores renormalization, scaling, critical points, exponents, and phase transitions in conformal field theory and quantum gravity.

Conformal Correlation Functions

Explores conformal correlation functions, cross-ratios, conformal transformations, algebra, and correlation functions of primary operators.

Conformal Transformations

Explores conformal transformations, scale invariance, and critical points in conformal symmetry.

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.

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