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arXiv · 1204.4406

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

Till Bargheer·Niklas Beisert·Florian Loebbert·Tristan McLoughlin
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Abstract

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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Till Bargheer, Niklas Beisert, Florian Loebbert, Tristan McLoughlin. 2012-11-05. Conformal Anomaly for Amplitudes in N=6 Superconformal Chern-Simons Theory. https://doi.org/10.1088/1751-8113%2F45%2F47%2F475402

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