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Conformal Anomaly for Amplitudes in N=6 Superconformal Chern-Simons Theory

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arxiv 1204.4406 v3 pith:NGALBOFF submitted 2012-04-19 hep-th

Till Bargheer , Niklas Beisert , Florian Loebbert , Tristan McLoughlin This is my paper
classification hep-th
keywords amplitudeschern-simonstheoryamplitudeone-loopanomalousanomalycalculation
verification ladder T0 review T1 audit T2 compute T3 formal
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Scattering amplitudes in three-dimensional N=6 Chern-Simons theory are shown to be non-invariant with respect to the free representation of the osp(6|4) symmetry generators. At tree and one-loop level these "anomalous" terms occur only for non-generic, singular configurations of the external momenta and can be used to determine the form of the amplitudes. In particular we show that the symmetries predict that the one-loop six-point amplitude is non-vanishing and confirm this by means of an explicit calculation using generalized unitarity methods. We comment on the implications of this finding for any putative Wilson loop/amplitude duality in N=6 Chern-Simons theory.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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

    hep-th 2026-01 unverdicted novelty 7.0 of 10

    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.

  2. A Hidden Permutation Symmetry of Squared Amplitudes in ABJM Theory

    hep-th 2025-08 conditional novelty 7.0 of 10

    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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