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

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.

28 pages, 7 figures. v3: JHEP version

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Cited by in corpus (24)

• Scattering Amplitudes
• ABJM amplitudes and the positive orthogonal grassmannian
• Unitarity bounds on charged/neutral state mass ratio
• Scattering Amplitudes and the Double Copy in Topologically Massive Theories
• The 1/2 BPS Wilson loop in ABJ(M) at two loops: The details
• On Three-Algebra and Bi-Fundamental Matter Amplitudes and Integrability of Supergravity
• The 1/2 BPS Wilson loop in ABJM theory at two loops
• Amplitudes of 3d Yang Mills Theory
• A new integral formula for supersymmetric scattering amplitudes in three dimensions
• The orthogonal momentum amplituhedron and ABJM amplitudes
• Light-like Wilson loops in ABJM and maximal transcendentality
• On the ABJM four-point amplitude at three loops and BDS exponentiation
• Two-loop Sudakov Form Factor in ABJM
• Non-planarity through unitarity in ABJM
• All one-loop amplitudes in N=6 superconformal Chern-Simons theory
• The two-loop six-point amplitude in ABJM theory
• Emergent unitarity, all-loop cuts and integrations from the ABJM amplituhedron
• The two-loop eight-point amplitude in ABJM theory
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• Scattering Amplitudes of Massive N=2 Gauge Theories in Three Dimensions
• The Positive orthogonal Grassmannian and loop amplitudes of ABJM
• ABJM flux-tube and scattering amplitudes
• From U(1) to E8: soft theorems in supergravity amplitudes
• A note on scattering amplitudes on the moduli space of ABJM