Caron-Huot, Simon; O’connell, Donal Spinor helicity and dual conformal symmetry in ten dimensions. (English) Zbl 1298.81163 J. High Energy Phys. 2011, No. 8, Paper No. 014, 23 p. (2011). Summary: 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. Cited in 41 Documents MSC: 81T13 Yang-Mills and other gauge theories in quantum field theory 81T60 Supersymmetric field theories in quantum mechanics 83E15 Kaluza-Klein and other higher-dimensional theories 81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics Keywords:field theories in higher dimensions; supersymmetric gauge theory; duality in gauge field theories PDFBibTeX XMLCite \textit{S. Caron-Huot} and \textit{D. O'connell}, J. High Energy Phys. 2011, No. 8, Paper No. 014, 23 p. (2011; Zbl 1298.81163) Full Text: DOI arXiv References: [1] Z. Xu, D.H. Zhang and L. Chang, Helicity amplitudes for multiple bremsstrahlung in massless nonabelian gauge theories, Nucl. Phys.B 291 (1987) 392. · doi:10.1016/0550-3213(87)90479-2 [2] J.F. Gunion and Z. Kunszt, Improved analytic techniques for tree graph calculations and the \(Ggq\bar{q}\) lepton anti-lepton subprocess, Phys. Lett.B 161 (1985) 333 [SPIRES]. [3] R. Kleiss and W.J. 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