Twist 3 of the sl(2) sector of N=4 SYM and reciprocity respecting evolution

TL;DR

This paper demonstrates that the anomalous dimensions of twist-3 operators in the sl(2) sector of N=4 SYM can be derived from a reciprocity respecting evolution kernel, extending understanding of integrability in this theory.

Contribution

It introduces a reciprocity respecting evolution kernel that generates the four-loop anomalous dimensions of twist-3 operators in N=4 SYM.

Findings

Anomalous dimensions are generated by a compact reciprocity respecting kernel.

The approach extends the integrability-based understanding of operator evolution.

Results are consistent with previous four-loop calculations.

Abstract

We consider the bosonic sl(2) sector of the maximally supersymmetric N=4 SYM model and show that anomalous dimension of the twist-3 single-trace composite operators built of scalar fields, recently calculated up to the four-loop order, can be generated by a compact reciprocity respecting evolution kernel.