QCD-like properties of anomalous dimensions in the $\mathcal N=4$ supersymmetric Yang–Mills theory

We show how closed formulas for the anomalous dimensions of two classes of operators in the $\mathcal N=4$ supersymmetric Yang–Mills theory can be derived either based on numerical investigation or based on QCD-inspired assumptions. We consider the case of twist-$3$ "gauge" operators for which we completely prove the reciprocity.