Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-09-13
Physics
High Energy Physics
High Energy Physics - Theory
Talk given by A. Agarwal, to be published in the Proceedings of the DPF-2011 Conference, Providence, RI, August 8-13, 2011. 7
Scientific paper
This talk, based principally on arXiv:1103.0786, is devoted to properties of tree-level S-matrices of N=2,4,8 SYM in D=2+1. We'll discuss an on-shell formalism for three-dimensional theories inspired by the spinor-helicity framework in four spacetime dimensions. Our framework will be shown be to particularly well suited for the extraction of hidden symmetries and algebraic structures that the scattering amplitudes of the three-dimensional theories posses. In particular we shall discuss the manifest SO(N) symmetry of the S-matrix to all orders in perturbation theory; a symmetry that the Lagrangians of these theories do not have. After a brief discussion of the ramification of the SO(N) invariance to the D2-M2 brane dualities, we shall introduce an on-shell superfield framework for three-dimensional theories and end with a surprising hint of the existence of non-local symmetries for the S-matrix of the N=8 theory.
Agarwal Abhishek
Young Donovan
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