From Schurs to Giants in ABJ(M)

TL;DR

This paper derives a formula for extremal n-point functions of chiral primary operators in ABJ(M) models, linking Schur polynomial correlators to giant graviton processes and providing insights into probe branes in AdS4xCP3 with NS B-field.

Contribution

It introduces a new formula for extremal correlators in ABJ(M) theories, connecting Schur polynomial correlators to giant graviton physics and confirming a conjecture in N=4 SYM.

Findings

Derived a formula for extremal n-point functions in ABJ(M)

Linked Schur polynomial correlators to giant graviton processes

Validated the Beisert et al. conjecture in N=4 SYM

Abstract

In this work we consider various correlators with Schur polynomials in ABJ(M) models that on the dual gravity side should correspond to processes involving giant gravitons. Our analysis imposes several constraints on the physics of the probe branes on AdS4xCP3 as well as sheds more light on giant graviton solutions in this background with additional NS B-field. Our main tool is a formula that we derive for extremal n-point functions of the single trace chiral primary operators in the free field theory limit. The formula expresses the correlators in terms of the two-point function of Schur polynomials labeled by hook diagrams and is valid for a large class of gauge theories. In particular, in N = 4 SYM, it proves the conjecture of Beisert et al.