Five-Loop Anomalous Dimension of Twist-Two Operators

TL;DR

This paper computes the five-loop anomalous dimension of twist-two operators in planar N=4 SYM theory, combining asymptotic Bethe ansatz and finite-size corrections, providing data to test spectral equations in AdS/CFT.

Contribution

It presents the first five-loop calculation of the anomalous dimension for twist-two operators in planar N=4 SYM, integrating reciprocity, Bethe ansatz, and wrapping corrections.

Findings

Results pass all known BFKL and double-logarithmic tests.

Provides infinite data for testing spectral equations in AdS/CFT.

Advances understanding of integrability in N=4 SYM.

Abstract

In this article we calculate the five-loop anomalous dimension of twist-two operators in the planar N=4 SYM theory. Firstly, using reciprocity, we derive the contribution of the asymptotic Bethe ansatz. Subsequently, we employ the first finite-size correction for the AdS5xS5 sigma model to determine the wrapping correction. The anomalous dimension found in this way passes all known tests provided by the NLO BFKL equation and double-logarithmic constraints. This result thus furnishes an infinite number of experimental data for testing the veracity of the recently proposed spectral equations for planar AdS/CFT correspondence.