Conformal Anomaly for Amplitudes in N=6 Superconformal Chern-Simons Theory
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.
Keywords
Cite
@article{arxiv.1204.4406,
title = {Conformal Anomaly for Amplitudes in N=6 Superconformal Chern-Simons Theory},
author = {Till Bargheer and Niklas Beisert and Florian Loebbert and Tristan McLoughlin},
journal= {arXiv preprint arXiv:1204.4406},
year = {2012}
}
Comments
29 pages, 9 figures, 1 table; v2: made section 4 more rigorous, minor improvements, references added; v3: added comment and reference on normalization, published in J.Phys.A