One Loop Amplitudes In ABJM

TL;DR

This paper computes one-loop scattering amplitudes in three-dimensional N=6 superconformal field theories, focusing on a specific subsector, and discusses their symmetries and anomalies.

Contribution

It provides the first explicit calculation of one-loop amplitudes for any number of particles in ABJM theory, especially for the N=2 invariant subsector.

Findings

One-loop amplitudes are generally non-zero.

Six-particle amplitudes determine the full superamplitude at this order.

The amplitudes exhibit specific symmetry properties and anomalous superconformal variations.

Abstract

For three dimensional N=6 superconformal field theories we compute one-loop scattering amplitudes for any number of external particles. We focus on a particular subsector of N=2 invariant superamplitudes for which the ordinary perturbative evaluation becomes very easy. The result we obtain is in general non-vanishing. For six external particles our findings are sufficient for determining the complete expression of the N=6 superamplitude at this order. We discuss the symmetries of the result and its anomalous variation under superconformal generators.