D-branes and orbit average

We study correlation functions of D-branes and a supergravity mode in AdS, which are dual to structure constants two sub-determinant operators with large charge BPS single-trace operator. Our approach is inspired by the expansion CFT resolves puzzles confusions literature on holographic computation heavy operators. In particular, we point out important effects often missed literature; first one an average over classical configurations state, physically amounts projecting state eigenstate quantum numbers. The second contribution from wave state. To demonstrate power method, analyze three-point $\mathcal{N}=4$ super Yang-Mills reproduce results field theory holography, including cases for previous gives incorrect answers. then apply it ABJM make solid predictions at strong coupling. Finally comment possible applications states black holes fuzzballs.