AdS/CFT duality at strong coupling

TL;DR

This paper investigates the strong coupling limit of AdS/CFT duality using a fermionic Bethe Ansatz approach, revealing limitations of this method at high coupling despite its effectiveness at weak coupling.

Contribution

It introduces a fermionic formulation of Bethe Ansatz equations for AdS/CFT and demonstrates its failure at strong coupling, contrasting with quantum string Bethe equation results.

Findings

States that deviate from Gubser-Klebanov-Polyakov law at large 0;

Fermionic approach is unreliable at high ;

Method remains useful for weak coupling calculations.

Abstract

We study the strong coupling limit of AdS/CFT correspondence in the framework of a recently proposed fermionic formulation of the Bethe Ansatz equations governing the gauge theory anomalous dimensions. We provide examples of states that do not follow the Gubser-Klebanov-Polyakov law at large 't Hooft coupling $\lambda$, in contrast with recent results on the quantum string Bethe equations valid in that regime. This result indicates that the fermionic construction cannot be trusted at large $\lambda$, although it remains an efficient tool to compute the weak coupling expansion of anomalous dimensions.