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arXiv · 1205.6705

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

Andreas Brandhuber·Gabriele Travaglini·Congkao Wen
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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 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.

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Andreas Brandhuber, Gabriele Travaglini, Congkao Wen. 2012-07-30. A note on amplitudes in N=6 superconformal Chern-Simons theory. https://doi.org/10.1007/jhep07(2012)160

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