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This talk, based principally on arXiv:1103.0786, is devoted to properties oftree-level S-matrices of N=2,4,8 SYM in D=2+1. We'll discuss an on-shellformalism for three-dimensional theories inspired by the spinor-helicityframework in four spacetime dimensions. Our framework will be shown be toparticularly well suited for the extraction of hidden symmetries and algebraicstructures that the scattering amplitudes of the three-dimensional theoriesposses. In particular we shall discuss the manifest SO(N) symmetry of theS-matrix to all orders in perturbation theory; a symmetry that the Lagrangiansof these theories do not have. After a brief discussion of the ramification ofthe SO(N) invariance to the D2-M2 brane dualities, we shall introduce anon-shell superfield framework for three-dimensional theories and end with asurprising hint of the existence of non-local symmetries for the S-matrix ofthe N=8 theory.

Hidden Local and Non-local Symmetries of S-matrices of N=2,4,8 SYM in D=2+1