Anomalous dimensions of Wilson operators in the $$\mathcal{N} = 4$$ supersymmetric Yang-Mills theory

Abstract

We present results for the universal anomalous dimension γun(j) of Wilson twist-2 operators in the \(\mathcal{N} = 4\) supersymmetric Yang-Mills theory in the first three orders of the perturbation theory. We obtain these expressions by extracting the most complicated terms from the corresponding anomalous dimensions in QCD. The result obtained agrees with the hypothesis of the integrability of the \(\mathcal{N} = 4\) supersymmetric Yang-Mills theory in the context of the AdS/CFT correspondence.