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Journal Article

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

MPS-Authors
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Bargheer,  Till
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

/persons/resource/persons20678

Beisert,  Niklas
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Loebbert,  Florian
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

/persons/resource/persons20681

McLoughlin,  Tristan
Duality & Integrable Structures, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1204.4406
(Preprint), 521KB

JoPA_45_47_475402.pdf
(Any fulltext), 666KB

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Citation

Bargheer, T., Beisert, N., Loebbert, F., & McLoughlin, T. (2012). Conformal Anomaly for Amplitudes in N=6 Superconformal Chern-Simons Theory. Journal of Physics A: Mathematical and General, 45 (47): 475402. doi:10.1088/1751-8113/45/47/475402.


Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-8715-B
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.