Dual Conformal Properties of Six-Dimensional Maximal Super Yang-Mills Amplitudes

Abstract

We demonstrate that the tree-level amplitudes of maximal super-Yang-Mills theory in six dimensions, when stripped of their overall momentum and supermomentum delta functions, are covariant with respect to the six-dimensional dual conformal group. Using the generalized unitarity method, we demonstrate that this property is also present for loop amplitudes. Since the six-dimensional amplitudes can be interpreted as massive four-dimensional ones, this implies that the six-dimensional symmetry is also present in the massively regulated four-dimensional maximal super-Yang-Mills amplitudes.

20 pages, 3 figures, minor clarification, references updated

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• Solvable Relativistic Hydrogenlike System in Supersymmetric Yang-Mills Theory
• Non-Chiral S-Matrix of N=4 Super Yang-Mills
• Summation of all-loop UV Divergences in Maximally Supersymmetric Gauge Theories
• From Six to Four and More: Massless and Massive Maximal Super Yang-Mills Amplitudes in 6d and 4d and their Hidden Symmetries
• The two-loop six-point amplitude in ABJM theory
• The Coulomb-branch S-matrix from massless amplitudes
• Challenges of D=6 N=(1,1) SYM Theory
• 6d Dual Conformal Symmetry and Minimal Volumes in AdS
• On hydrogen-like bound states in $\mathcal{N}=4$ super Yang-Mills
• The canonical form has got baubles