Conformal Transformations: Theory and Applications

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Related lectures (30)

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Conformal Transformations

Explores conformal transformations, including holomorphic functions and Moebius transformations.

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 Transformations and Stress Tensor

Explores conformal transformations, stress tensor, and correlation functions in conformal field theory.

Conformal Transformations: Symmetries and Correlation Functions

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

Conformal Field Theory

Covers the basics of Conformal Field Theory, including operators and correlators.

Proper Actions and Quotients

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Conformal Correlation Functions

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

Weakly Coupled QFT in AdS

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

Lie Groups: Representations and Transformations

Explores Lie groups, scalar fields, and vector spaces transformations.