An alternative S-matrix for N=6 Chern-Simons theory ?

TL;DR

This paper explores an alternative S-matrix for N=6 superconformal Chern-Simons theory, contrasting it with a previous reflectionless model, and concludes it does not align with known perturbative results.

Contribution

The authors propose a new S-matrix for the theory where A-B scattering is not reflectionless, challenging the previous reflectionless assumption and analyzing its consistency.

Findings

The alternative S-matrix does not produce the expected Bethe ansatz equations.

It is inconsistent with perturbative computations.

The reflectionless property is crucial for matching known results.

Abstract

We have recently proposed an S-matrix for the planar limit of the N=6 superconformal Chern-Simons theory of Aharony, Bergman, Jafferis and Maldacena which leads to the all-loop Bethe ansatz equations conjectured by Gromov and Vieira. An unusual feature of this proposal is that the scattering of A and B particles is reflectionless. We consider here an alternative S-matrix, for which A-B scattering is not reflectionless. We argue that this S-matrix does not lead to the Bethe ansatz equations which are consistent with perturbative computations.