Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory at strong coupling

TL;DR

This paper derives an exact analytical solution for the integral equation governing the cusp anomalous dimension in N=4 super Yang-Mills theory, enabling precise determination of its strong coupling behavior.

Contribution

It provides the first exact analytical solution to the integral equation related to the cusp anomalous dimension at strong coupling in planar N=4 SYM.

Findings

Exact solution for the integral equation

Strong coupling expansion of the cusp anomalous dimension

Enhanced understanding of high spin operator behavior

Abstract

We construct an exact analytical solution to the integral equation which is believed to describe logarithmic growth of the anomalous dimensions of high spin operators in planar N=4 super Yang-Mills theory and use it to determine the strong coupling expansion of the cusp anomalous dimension.