Universality of three gaugino anomalous dimensions in N=4 SYM

TL;DR

This paper demonstrates that the lowest anomalous dimensions of certain gaugino operators in N=4 SYM are universally related to the twist-2 anomalous dimension, proven at three loops due to hidden symmetries.

Contribution

It establishes a universal relation for anomalous dimensions across different sectors in N=4 SYM, supported by a rigorous three-loop proof.

Findings

Universal anomalous dimension relates to twist-2 dimension.

Proven at three loops using hidden psu(1|1) symmetry.

Applicable to operators with generic finite spin.

Abstract

We study maximal helicity three gaugino operators in N=4 Super Yang-Mills theory. We show that the lowest anomalous dimension of scaling operators with generic finite spin can be expressed in terms of the universal anomalous dimension appearing at twist-2. This statement is rigourously proved at three loops. The reason for this universality between sectors with different twist is the hidden psu(1|1) invariance of the su(2|1) subsector of the theory.