Conformal Bootstrap: Recap and Primary Concepts

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Unitarity Bounds: Operator Product Expansion

Covers unitarity bounds, operator product expansion, conformal blocks, and the conformal bootstrap in conformal field theory.

Conformal Blocks: Functions on Moduli Spaces

Covers conformal blocks and their significance in complex structures and moduli spaces.

Conformal Field Theory: Exercises

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

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

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

Operator Product Expansion

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

Conformal Field Theory

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

Renormalization & Scaling

Explores renormalization, scaling, critical points, exponents, and phase transitions in conformal field theory and quantum gravity.

Weakly Coupled QFT in AdS

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

Conformal Field Theory: Two-Point Functions

Explores two-point functions in Conformal Field Theory, including spectral density interpretation and Euler characteristic invariance.