Lectures related to Conformal group

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

Conformal Transformations: Theory and Applications

Explores the theory and applications of conformal transformations, covering special conformal transformations and isomorphic transformations.

Lecture 5: Conformal Transformations

Explores Conformal Transformations, emphasizing scale transformations and correlation functions.

Conformal Transformations

Explores conformal transformations, including holomorphic functions and Moebius transformations.

Conformal Transformations

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

Symmetric Inner Products and Conformal Transformations

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

Conformal Field Theory Basics

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

Conformal Symmetries in Euclidean and AdS Spaces

Explores conformal symmetries in Euclidean and AdS spaces, isometries, induced metric, Poincaré coordinates, and boundary structure.

Conformal Field Theory: Generators and Commutation Relations

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

Quantization: Topological Operators

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

Conformal Field Theory: Stress Tensor & Ward Identities

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

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.

Conformal Transformations: Power Counting

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

Ward Identities and Symmetries

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

Conformal Bootstrap: Recap and Primary Concepts

Introduces the primary concepts of the conformal bootstrap and its applications in determining scaling dimensions and OPE coefficients.

Conformal Algebra: Transformations and Correlation Functions

Explores conformal algebra, transformations, and correlation functions of primary operators in curved spacetimes.

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.

Vertex Operator Algebras: Conformal Vectors and Virasoro Algebra

Explores conformal vectors, Virasoro algebra, and Heisenberg vertex algebra in the theory of vertex operator algebras.

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.