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A note on amplitudes in \( \mathcal{N} = {6} \) superconformal Chern-Simons theory

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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 treelevel 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.

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Authors and Affiliations

  1. Centre for Research in String Theory, School of Physics and Astronomy, Queen Mary University of London, Mile End Road, London, E1 4NS, United Kingdom

    Andreas Brandhuber, Gabriele Travaglini & Congkao Wen

  2. Department of Particle Physics and Astrophysics, Weizmann Institute of Science, Rehovot, 76100, Israel

    Andreas Brandhuber

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  1. Andreas Brandhuber
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  2. Gabriele Travaglini
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Correspondence to Andreas Brandhuber.

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Brandhuber, A., Travaglini, G. & Wen, C. A note on amplitudes in \( \mathcal{N} = {6} \) superconformal Chern-Simons theory. J. High Energ. Phys. 2012, 160 (2012). https://doi.org/10.1007/JHEP07(2012)160

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  • DOI: https://doi.org/10.1007/JHEP07(2012)160

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