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

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.

arXiv commentv2: references added and typo fixed

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Cited by in corpus (1)

• Interior analysis, stretched technique and bubbling geometries