Consequences of Conformal Invariance

Apply Ward identities to constrain the form of correlation functions under conformal transformations.

Determine the universal form of two-point and three-point functions of primary operators.

Express four-point functions in terms of conformal cross-ratios.

Define the Operator Product Expansion (OPE) and relate it to the operator algebra.

Decompose correlation functions into conformal blocks, representing the contribution of an exchanged primary operator and its descendants.

Formulate the conformal bootstrap equations by imposing crossing symmetry on the OPE.