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A note on amplitudes in N=6 superconformal Chern-Simons theory
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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.
Forward citations
Cited by 2 Pith papers
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Loops and legs: ABJM amplitudes from $f$-graphs
ABJM amplitudes of arbitrary multiplicity and loop order can be reconstructed from squared amplitudes encoded in a permutation-symmetric generating function of planar f-graphs.
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A Hidden Permutation Symmetry of Squared Amplitudes in ABJM Theory
Squared ABJM amplitude integrands with fixed n+L are unified in a permutation-symmetric generating function, and a bipartite f-graph bootstrap yields new N=10 tree and loop results.
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