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

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dc.creatorBrandhuber, Andreas
dc.creatorHeslop, Paul
dc.creatorTravaglini, Gabriele
dc.date2008-07-25
dc.date2008-09-01
dc.date.accessioned2026-07-07T12:22:26Z
dc.date.available2026-07-07T12:22:26Z
dc.descriptionWe 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.
dc.description30 pages, 4 figures; v2: Section 2.1, added proof of covariance under dual conformal inversions of 3-point anti-MHV amplitude; Section 5, conjecture on dual conformal covariance of one-loop amplitude coefficients converted to a proof; typos corrected; v3: changes in Section 2.2, one reference added
dc.identifierhttps://arxiv.org/abs/0807.4097
dc.identifierhttp://arxiv.org/abs/0807.4097
dc.identifierPhys.Rev.D78:125005,2008
dc.identifierdoi:10.1103/PhysRevD.78.125005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/213649
dc.subjectHigh Energy Physics - Theory
dc.titleA note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
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