Long Range Asymptotic Baxter-Bethe Ansatz for N=4 BFKL

TL;DR

This paper introduces a novel long-range asymptotic Baxter-Bethe ansatz for N=4 BFKL, enabling explicit solutions in the weak coupling regime and providing new insights into the spectrum of light-ray operators.

Contribution

It presents a new long-range asymptotic Baxter-Bethe ansatz for N=4 BFKL, extending the understanding of non-local operators in the Regge regime.

Findings

Explicit solution up to L+1 order in weak coupling.

New predictions for light-ray operator spectrum.

Resummation of leading singularities confirms results.

Abstract

We demonstrate that the Balitsky-Fadin-Kuraev-Lipatov regime of maximally supersymmetric Yang-Mills theory can be explicitly solved up to the L+1 order in weak coupling by uncovering a novel long-range asymptotic Baxter-Bethe ansatz for trajectories with L scalar fields. The set of equations we have found is reminiscent of the Beisert-Eden-Staudacher equations for local operators but instead applies to non-local operators corresponding to the horizontal Regge trajectories. We also verify and give new predictions for the light-ray operator spectrum by resummation of the leading singularities in our result.