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