Spinor Helicity and Dual Conformal Symmetry in Ten Dimensions

Abstract

The spinor helicity formalism in four dimensions has become a very useful tool both for understanding the structure of amplitudes and also for practical numerical computation of amplitudes. Recently, there has been some discussion of an extension of this formalism to higher dimensions. We describe a particular implementation of the spinor-helicity method in ten dimensions. Using this tool, we study the tree-level S-matrix of ten dimensional super Yang-Mills theory, and prove that the theory enjoys a dual conformal symmetry. Implications for four-dimensional computations are discussed.

24 pages, 1 figures

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• From Six to Four and More: Massless and Massive Maximal Super Yang-Mills Amplitudes in 6d and 4d and their Hidden Symmetries
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• 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
• High Energy Behaviour in Maximally Supersymmetric Gauge Theories in Various Dimensions
• Symplectic Grassmannians, dual conformal symmetry and 4-point amplitudes in 6D
• Type IIB at eight derivatives: insights from Superstrings, Superfields and Superparticles