Symmetries of the N=4 SYM S-matrix

Details Symmetries of the N=4 SYM S-matrix Symmetries of the N=4 SYM S-matrix

2009-08-18

arxiv.org/abs/0908.2437v2

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, 11 figures. v2: Typos corrected, references added, vanishing contribution appearing in the passage from interacting

Scientific paper

Under the assumption of a CSW generalization to loop amplitudes in N=4 SYM, (1) We prove that, formally the S-matrix is superconformal invariant to any loop order, and (2) We argue that superconformal symmetry survives regularization. More precisely, IR safe quantities constructed from the S-matrix are superconformal covariant. The IR divergences are regularized in a new holomorphic anomaly friendly regularization. The CSW prescription is known to be valid for all tree level amplitudes and for one loop MHV amplitudes. In these cases, our formal results do not rely on any assumptions.

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