Giant Gravitons on AdS_4 x CP^3 and their Holographic Three-point Functions

TL;DR

This paper parametrizes anti-symmetric giant gravitons in AdS_4 x CP^3, computes their three-point functions holographically, and relates these results to chiral primary correlators in ABJM theory at strong coupling.

Contribution

It introduces a simple parametrization of giant gravitons in AdS_4 x CP^3 and calculates their three-point functions holographically, connecting to ABJM theory results.

Findings

Derived a semi-classical expression for three-point functions involving giant gravitons.

Showed the reduction of giant graviton three-point functions to chiral primary correlators in the point-like limit.

Provided explicit formulas for extremal and non-extremal configurations.

Abstract

We find a simple parametrization of the anti-symmetric giant graviton in AdS_4 x CP^3, first constructed in arXiv:1108.3084 [hep-th], dual to the anti-symmetric Schur polynomial involving two bi-fundamental complex scalar fields of ABJM theory. Using this parametrization we evaluate in a semi-classical approach the three-point function of two such giant gravitons and one point-like graviton considering both extremal and non-extremal configurations. We likewise discuss the case of the symmetric giant graviton in AdS_4 x CP^3. Finally, we provide an expression for the planar three-point function of chiral primary operators in ABJM at strong coupling and find that the results for the giant graviton three-point functions reduce to this expression in the point-like limit.