PHYS-739: Conformal Field theory and Gravity

Lectures in this course (45)

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

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

Covers exercises in Conformal Field Theory, focusing on dimensional analysis, scale-invariant ratios, and expansion forms.

Explores AdS/CFT, quantum gravity, and the holographic principle in string theory.

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

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

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

Covers the quantization of topological operators and Ising models on square lattices.

Covers the concept of Quantum Field Theory in Ads and CFT correlators.

Explores energy spectra in AdS, unitarity constraints, and the AdS-CFT correspondence.

Explores black holes and string theory solutions in higher-dimensional space.

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

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

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

Covers AdS/CFT correspondence, Ising model critical points, gravitons, stress tensor identities, holographic CFTs, and observables in CFTs.

Covers the thermal properties of materials, focusing on specific heat and magnetization.

Explores the Large N expansion in vector models, focusing on matrix models, gauge theories, and the Hooft coupling.

Covers the theory and applications of Borel resummation in physics.

Covers the basics of particle physics and the concept of ß function in statistical mechanics.

Explores systems of linear equations, transformations, dilatation, rotation, and cross ratios in linear algebra.

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