Five-loop Konishi from the Mirror TBA

TL;DR

This paper computes the five-loop anomalous dimension of the Konishi operator using the Thermodynamic Bethe Ansatz for the AdS/CFT mirror model, confirming the results with an independent method and validating the TBA system.

Contribution

It provides the first five-loop calculation of the Konishi anomalous dimension using TBA equations, confirming the accuracy of the mirror TBA approach in AdS/CFT.

Findings

Numerical agreement with Luscher formula results

Validation of the TBA system for AdS/CFT

First five-loop Konishi dimension calculation

Abstract

We use the Thermodynamic Bethe Ansatz equations for the AdS_5 \times S^5 mirror model to derive the five-loop anomalous dimension of the Konishi operator. We show numerically that the corresponding result perfectly agrees with the one recently obtained via the generalized Luscher formulae. This constitutes an important test of the AdS/CFT TBA system.