Speaker
Tristan McLoughlin
(MPI Potsdam)
Description
In recent years a host of new structures, such as Yangian symmetries
and the duality between color and kinematics, have been discovered in
the study of maximally supersymmetric scattering amplitudes. It is natural to
question whether these structures can be found in a wider class of theories.
In this talk we provide evidence for analogous structures in three-dimensional
supersymmetric Chern-Simons matter theories.
Specifically we show that the tree-level amplitudes can be written so
that the kinematic factors satisfy the fundamental identity of three-algebras.
We further show that the amplitudes can be squared into the
amplitudes of three-dimensional supergravity, thus providing
evidence for a hidden three-algebra structure in the dynamics of
the supergravity. We also study the Chern-Simons planar amplitudes at one-loop,
demonstrating that their explicit form is consistent with, and determined by,
their Yangian symmetry.
Primary author
Tristan McLoughlin
(MPI Potsdam)
