The Four-Loop Konishi in N=4 SYM

TL;DR

This paper provides a detailed four-loop calculation of the Konishi operator's anomalous dimension in N=4 SYM, confirming previous results from superfield and superstring approaches within the gauge/string duality framework.

Contribution

It presents the first full direct component calculation of the four-loop anomalous dimension of the Konishi operator in N=4 SYM, validating earlier indirect methods.

Findings

Results agree with superfield and superstring computations.

Confirms finite size corrections in the integrable model.

Supports the gauge/string duality predictions.

Abstract

We present the result of a full direct component calculation for the planar four-loop anomalous dimension of the Konishi operator in N =4 Supersymmetric Yang-Mills theory. Our result confirms the results obtained from superfield (arXiv:0712.3522, arXiv:0806.2095) and superstring (arXiv:0807.0399) 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.