Lecture 5: Conformal Transformations

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

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

Explores fundamental groups, homotopy classes, and coverings in connected manifolds.

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

Explores scaling and renormalization in statistical mechanics, emphasizing critical points and invariant properties.

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

Explores conformal maps, hyperbolic geometry, and isometric properties of disks.

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

Explores critical behavior in general relativity, including scaling factor and coupling constant flow.

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