Orbit Averaging Coherent States: Holographic Three-Point Functions of AdS Giant Gravitons

TL;DR

This paper computes three-point functions involving AdS giant gravitons in AdS5xS5 using holography, confirming gauge/gravity duality and simplifying previous derivations in N=4 SYM.

Contribution

It provides a simplified holographic derivation of three-point functions involving AdS giant gravitons, extending to bound states and bubbling geometries.

Findings

Full agreement between gravity and gauge theory calculations at large N.

Simplified derivation of known results in the literature.

Generalization potential to bound states and bubbling geometries.

Abstract

We study correlation functions of two AdS giant gravitons in AdS$_5\times S^5$ and a BPS supergravity mode using holography. In the gauge theory these are described by BPS correlators of Schur polynomials of fully-symmetric representations and a single trace operator. We find full agreement between the semiclassical gravity and gauge theory computations at large $N$, for both diagonal and off-diagonal structure constants. Our analysis in $\mathcal{N}=4$ SYM provides a simpler derivation to the results in the literature, and it can be readily generalized to operators describing bound states of AdS giant gravitons as well as bubbling geometries.