Supertwistor space for 6D maximal super Yang-Mills

Abstract

6D maximal super Yang-Mills on-shell amplitudes are formulated in superspace using 6 dimensional twistors. The 3,4,5-point tree amplitudes are obtained by supersymmetrizing their bosonic counterparts and confirmed through the BCFW construction. In contrast to 4D this superspace is non-chiral, reflecting the fact that one cannot differentiate MHV from $\overline{\mathrm{MHV}}$ in 6D. Combined with unitarity methods, this superspace should be useful for the study of multi-loop D dimensional maximal super Yang-Mills and gravity amplitudes. Furthermore, the non-chiral nature gives a natural framework for an off-shell construction. We show this by matching our result with off-shell D=4 N=4 super Yang-Mills amplitudes, expressed in projective superspace.

6 figures 28 pages. with better signs

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• Loop amplitudes in gauge theories: modern analytic approaches
• Spinor Helicity and Dual Conformal Symmetry in Ten Dimensions
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• Higher Derivative Terms, Toroidal Compactification, and Weyl Anomalies in Six-Dimensional (2,0) Theories
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• Constructing $\mathcal{N}=4$ Coulomb Branch Superamplitudes
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• Recursion and worldsheet formulae for 6d superamplitudes
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• A Twistor Description of Six-Dimensional N=(1,1) Super Yang-Mills Theory
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• One-Loop N = 4 Super Yang-Mills Scattering Amplitudes to All Orders in the Dimensional Regularization Parameter
• Instantons on the six-sphere and twistors
• Massive Scattering Amplitudes in Six Dimensions
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• Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
• Higher-dimensional invariants in $6D$ super Yang-Mills theory
• One-loop divergences in the six-dimensional $\mathcal{N}=(1,0)$ hypermultiplet self-coupling model
• Yangian Symmetry in Five Dimensions
• Symplectic Grassmannians, dual conformal symmetry and 4-point amplitudes in 6D
• High Energy Behaviour in Maximally Supersymmetric Gauge Theories in Various Dimensions
• Divergences in maximal supersymmetric Yang-Mills theories in diverse dimensions