Conformal Transformations

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Related lectures (47)

Conformal Transformations: Part 1

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

Lecture 5: Conformal Transformations

Explores Conformal Transformations, emphasizing scale transformations and correlation functions.

Symmetric Inner Products and Conformal Transformations

Covers making inner products symmetric and conformal transformations in local operators computation.

Conformal Transformations

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

Conformal Field Theory Basics

Covers the basics of Conformal Field Theory, focusing on Large N CFTs and correlation functions.

Isometries in Euclidean Spaces

Explores isometries in Euclidean spaces, including translations, rotations, and linear symmetries, with a focus on matrices.

Conformal Field Theory: Stress Tensor & Ward Identities

Explores the invariance of quantum/statistical field theory under conformal transformations and the stress tensor properties.

Quantization: Topological Operators

Covers the quantization process using topological operators and their role in generating symmetries.

Conformal Transformations: Power Counting

Covers conformal transformations and power counting in diagrams with edges, vertices, and faces.

Open Mapping Theorem

Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.

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.

Easing Model Conformal Theory: Scaling Limits and Correlations

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

Mapping Functions and Surjections

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Algebraic Identities and Trigonometry

Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.

Conformal Transformations: Symmetries and Correlation Functions

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

Conformal Field Theory: Exercises

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

Holomorphic Functions: Taylor Series Expansion

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Correlation Functions in Loop Models: Structural Assumptions

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

Weakly Coupled QFT in AdS

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

Conformal Correlation Functions

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

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