Conformal kernel for NLO BFKL equation in ${\cal N}$=4 SYM

TL;DR

This paper derives a conformal NLO BFKL kernel for ${ m extbf{N=4}}$ SYM by restoring conformal invariance from known eigenvalues, advancing understanding of high-energy scattering in this theory.

Contribution

It introduces a method to construct the conformal NLO BFKL kernel in ${ m extbf{N=4}}$ SYM based on eigenvalues, emphasizing M"{o}bius invariance.

Findings

Conformal NLO BFKL kernel derived for ${ m extbf{N=4}}$ SYM.

Restoration of conformal invariance from eigenvalues.

Enhanced understanding of high-energy scattering amplitudes.

Abstract

Using the requirement of M\"{o}bius invariance of ${\cal N}$=4 SYM amplitudes in the Regge limit we restore the conformal NLO BFKL kernel out of the eigenvalues known from the forward NLO BFKL result.