N=6 super Chern-Simons theory S-matrix and all-loop Bethe ansatz equations

TL;DR

This paper derives the exact S-matrix and all-loop Bethe ansatz equations for the planar N=6 super Chern-Simons theory, confirming recent conjectures and advancing understanding of its integrable structure.

Contribution

It provides the explicit form of the S-matrix and Bethe ansatz equations for the theory, including the dressing phase, based on symmetry and crossing relations.

Findings

Confirmed the all-loop Bethe ansatz equations for the theory.

Derived the exact S-matrix including the dressing phase.

Validated the conjectured Bethe-Yang equations.

Abstract

We propose the exact S-matrix for the planar limit of the N=6 super Chern-Simons theory recently proposed by Aharony, Bergman, Jafferis, and Maldacena for the AdS_4/CFT_3 correspondence. Assuming SU(2|2) symmetry, factorizability and certain crossing-unitarity relations, we find the S-matrix including the dressing phase. We use this S-matrix to formulate the asymptotic Bethe ansatz. Our result for the Bethe-Yang equations and corresponding Bethe ansatz equations confirms the all-loop Bethe ansatz equations recently conjectured by Gromov and Vieira.