NLO Evolution of Color Dipoles in N = 4 SYM

TL;DR

This paper discusses the recent calculation of next-to-leading order evolution of color dipoles in QCD and N=4 SYM, which is crucial for understanding small-x deep inelastic scattering in the saturation regime.

Contribution

It presents the first calculation of NLO evolution of color dipoles in N=4 SYM, extending previous QCD results and enhancing theoretical understanding of saturation physics.

Findings

NLO evolution equations for color dipoles in N=4 SYM derived

Comparison with QCD results highlights similarities and differences

Advances the theoretical framework for small-x physics in supersymmetric theories

Abstract

The small-$x_B$ deep inelastic scattering in the saturation region is governed by the non-linear evolution of Wilson-line operators. In the leading logarithmic approximation it is given by the BK equation for the evolution of color dipoles. I discuss recent calculation of the next-to-leading order evolution of color dipoles in QCD and ${\cal N}=4$ SYM.