Holographic three-point functions of giant gravitons

TL;DR

This paper computes three-point functions involving giant gravitons in AdS/CFT using semiclassical string theory and gauge theory, revealing structural similarities but imperfect matches, highlighting limitations of Schur polynomials.

Contribution

It provides the first detailed calculation of three-point functions with giant gravitons in both string theory and gauge theory, comparing results and analyzing their differences.

Findings

Gauge and string theory results show structural similarities.

Results do not match perfectly, indicating limitations of Schur polynomials.

Schur polynomials cannot interpolate between dual giant and pointlike gravitons.

Abstract

Working within the AdS/CFT correspondence we calculate the three-point function of two giant gravitons and one pointlike graviton using methods of semiclassical string theory and considering both the case where the giant gravitons wrap an S^3 in S^5 and the case where the giant gravitons wrap an S^3 in AdS_5. We likewise calculate the correlation function in N=4 SYM using two Schur polynomials and a single trace chiral primary. We find that the gauge and string theory results have structural similarities but do not match perfectly, and interpret this in terms of the Schur polynomials' inability to interpolate between dual giant and pointlike gravitons.