A great deal of progress has been made in computing scattering amplitudes in 4d quantum field theories by expressing the amplitudes in terms of variables known as twistors. In this talk, I will describe twistorial methods for computing scattering amplitudes in 3d quantum field theories, in particular superconformal Chern-Simons theories and supersymmetric Yang-Mills theories. These methods have led to the discovery of new symmetries and dualities in 3d quantum field theories.
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