A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix

Details A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix

2008-07-25

arxiv.org/abs/0807.4097v3

Phys.Rev.D78:125005,2008

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 4 figures; v2: Section 2.1, added proof of covariance under dual conformal inversions of 3-point anti-MHV amplitude;

Scientific paper

10.1103/PhysRevD.78.125005

We present a supersymmetric recursion relation for tree-level scattering amplitudes in N=4 super Yang-Mills. Using this recursion relation, we prove that the tree-level S-matrix of the maximally supersymmetric theory is covariant under dual superconformal transformations. We further analyse the consequences that the transformation properties of the trees under this symmetry have on those of the loops. In particular, we show that the coefficients of the expansion of generic one-loop amplitudes in a basis of pseudo-conformally invariant scalar box functions transform covariantly under dual superconformal symmetry, and in exactly the same way as the corresponding tree-level amplitudes.

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