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Lecture 5: Conformal Transformations
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Conformal Transformations: Symmetries and Correlation Functions
Explores conformal transformations and correlation functions in quantum field theory, emphasizing symmetry preservation and fixed correlation functions.
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.
Conformal Field Theory Basics
Covers the basics of Conformal Field Theory, focusing on Large N CFTs and correlation functions.
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.
Weakly Coupled QFT in AdS
Explores weakly coupled quantum field theory in AdS, including state-operator correspondence and semiclassical gravity.
Conformal Field Theory: Stress Tensor & Ward Identities
Explores the invariance of quantum/statistical field theory under conformal transformations and the stress tensor properties.
Conformal Field Theory: Generators and Commutation Relations
Covers the definition of generators of the conformal group and the application of Wick's theorem.
Conformal Correlation Functions
Explores conformal correlation functions, cross-ratios, conformal transformations, algebra, and correlation functions of primary operators.
Critical Exponents from RG
Covers CFT, gravity, phase transitions, critical exponents, and RG formalism.
Local Fields and Correlations in Ising Models
Covers local fields and correlations in Ising models and conformal field theory.