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

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

2012-04-19

arxiv.org/abs/1204.4406v1

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 9 figures, 1 table

Scientific paper

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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