The all loop AdS4/CFT3 Bethe ansatz

TL;DR

This paper introduces a comprehensive set of Bethe equations for the AdS4/CFT3 duality, capturing the full asymptotic spectrum across all coupling regimes, and connecting previous two-loop and string algebraic curve results.

Contribution

It proposes a new set of Bethe equations that interpolate between known results and conjectures the form of the dressing factor, advancing the understanding of the duality's spectral structure.

Findings

Bethe equations match known two-loop results

Equations interpolate between different regimes

Dressing factor form is conjectured

Abstract

We propose a set of Bethe equations yielding the full asymptotic spectrum of the AdS4/CFT3 duality proposed in arXiv:0806.1218 to all orders in the t'Hooft coupling. These equations interpolate between the 2-loop Bethe ansatz of Minahan and Zarembo arXiv:0806.3951 and the string algebraic curve of arXiv:0807.0437. The several SU(2|2) symmetries of the theory seem to highly constrain the form of the Bethe equations up to a dressing factor whose form we also conjecture.