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New Relations for Three-Dimensional Supersymmetric Scattering Amplitudes

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

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He,  Song
Canonical and Covariant Dynamics of Quantum Gravity, 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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1203.0562
(Preprint), 164KB

PRL108_231601.pdf
(Any fulltext), 153KB

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Citation

Bargheer, T., He, S., & McLoughlin, T. (2012). New Relations for Three-Dimensional Supersymmetric Scattering Amplitudes. Physical Review Letters, 108: 231601. doi:10.1103/PhysRevLett.108.231601.


Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-4C50-1
Abstract
We provide evidence for a duality between color and kinematics in three-dimensional supersymmetric Chern-Simons matter theories. We show that the six-point amplitude in the maximally supersymmetric, N=8, theory can be arranged so that the kinematic factors satisfy the fundamental identity of three-algebras. We further show that the four- and six-point N=8 amplitudes can be "squared" into the amplitudes of N=16 three-dimensional supergravity, thus providing evidence for a hidden three-algebra structure in the dynamics of the supergravity.