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.
Generalized unitarity for N=4 super-amplitudes
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abstract
We develop a manifestly supersymmetric version of the generalized unitarity cut method for calculating scattering amplitudes in N=4 SYM theory. We illustrate the power of this method by computing the one-loop n-point NMHV super-amplitudes. The result confirms two conjectures which we made in arXiv:0807.1095 [hep-th]. Firstly, we derive the compact, manifestly dual superconformally covariant form of the NMHV tree amplitudes for arbitrary number and types of external particles. Secondly, we show that the ratio of the one-loop NMHV to the MHV amplitude is dual conformal invariant.
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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.