English

A note on amplitudes in N=6 superconformal Chern-Simons theory

High Energy Physics - Theory 2017-08-23 v3

Abstract

We establish a connection between tree-level superamplitudes in ABJM theory and leading singularities associated to special three-particle cuts of one-loop superamplitudes where one of the tree amplitudes entering the cut is a four-point amplitude. Using these relations, we show that certain intriguing similarities between one-loop and tree-level superamplitudes observed recently become completely manifest. This connection is reminiscent of a similar relation in the maximally supersymmetric gauge theory in four dimensions, where the sum of two-mass hard and one-mass box coefficients of a one-loop amplitude equals the corresponding tree-level amplitude. As an application, we present a very simple re-derivation of the six-point superamplitude and calculate the eight-point superamplitude at one loop in ABJM theory.

Keywords

Cite

@article{arxiv.1205.6705,
  title  = {A note on amplitudes in N=6 superconformal Chern-Simons theory},
  author = {Andreas Brandhuber and Gabriele Travaglini and Congkao Wen},
  journal= {arXiv preprint arXiv:1205.6705},
  year   = {2017}
}

Comments

28 pages, 7 figures. v3: JHEP version

R2 v1 2026-06-21T21:11:42.707Z