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arxiv: 1204.4407 · v2 · submitted 2012-04-19 · ✦ hep-th

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One Loop Amplitudes In ABJM

Marco S. Bianchi , Matias Leoni , Andrea Mauri , Silvia Penati , Alberto Santambrogio
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classification ✦ hep-th
keywords amplitudesexternalparticlesresultsuperconformalabjmanomalousbecomes
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For three dimensional N=6 superconformal field theories we compute one-loop scattering amplitudes for any number of external particles. We focus on a particular subsector of N=2 invariant superamplitudes for which the ordinary perturbative evaluation becomes very easy. The result we obtain is in general non-vanishing. For six external particles our findings are sufficient for determining the complete expression of the N=6 superamplitude at this order. We discuss the symmetries of the result and its anomalous variation under superconformal generators.

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  1. Loops and legs: ABJM amplitudes from $f$-graphs

    hep-th 2026-01 unverdicted novelty 7.0

    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.