Non-renormalization of next-to-extremal correlators in N=4 SYM and the AdS/CFT correspondence

TL;DR

This paper demonstrates that next-to-extremal correlators in N=4 SYM are not corrected at first order in perturbation theory and likely remain uncorrected at strong coupling, supported by supergravity calculations.

Contribution

It provides evidence that certain correlators in N=4 SYM are non-renormalized at both weak and strong coupling, linking perturbative and supergravity results.

Findings

No quantum corrections at first order in perturbation theory.

Supergravity exchange diagrams match free-field results.

Quantum corrections likely vanish at strong coupling.

Abstract

We show that next-to-extremal correlators of chiral primary operators in N=4 SYM theory do not receive quantum corrections to first order in perturbation theory. Furthermore we consider next-to-extremal correlators within AdS supergravity. Here the exchange diagrams contributing to these correlators yield results of the same free-field form as obtained within field theory. This suggests that quantum corrections vanish at strong coupling as well.