CFT representation of interacting bulk gauge fields in AdS

Understand

We develop the representation of interacting bulk gauge fields and charged scalar matter in AdS in terms of non-local observables in the dual CFT.

• We work in holographic gauge in the bulk, A_z = 0.
• The correct statement of micro-causality in holographic gauge is somewhat subtle, so we first discuss it from the bulk point of view.
• We then show that in the 1/N expansion CFT correlators can be lifted to obtain bulk correlation functions which satisfy micro-causality.