Qcd-like properties of anomalous dimensions in the NN =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