Abstract:
We present the result of a full direct component calculation for the planar four-loop anomalous dimension of the Konishi operator in $\mathcal N=4$ Supersymmetric Yang-Mills theory. Our result confirms the results obtained from superfield and superstring computations, which take into account finite size corrections to the all-loop asymptotic Bethe ansatz for the integrable models describing the spectrum of the anomalous dimensions of the gauge-invariant operators and the spectrum of the string states in the framework of the gauge/string duality.