Holography and the AdS/CFT Correspondence

Explain the large N expansion in matrix models and its role in simplifying QFT dynamics.

Describe the holographic principle and how large N theories can lead to classical gravity descriptions.

State the AdS/CFT correspondence, relating a specific large N gauge theory (N=4 SYM) to string theory in AdS space.

Map the global conformal group in d dimensions to the isometry group of AdS_{d+1}.

Use the operator-field correspondence to relate CFT operator dimensions to bulk field masses.

Calculate CFT two-point functions from the bulk perspective using bulk-to-boundary propagators.

Explain the role of superconformal symmetry in the precise formulation of the AdS/CFT correspondence.