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High Energy Physics - Theory, hep-th
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.