Spinor Helicity and Dual Conformal Symmetry in Ten Dimensions

TL;DR

This paper extends the spinor helicity formalism to ten dimensions, enabling the analysis of super Yang-Mills theory's S-matrix and revealing its dual conformal symmetry, with implications for lower-dimensional computations.

Contribution

It introduces a specific implementation of the spinor-helicity formalism in ten dimensions and demonstrates dual conformal symmetry in ten-dimensional super Yang-Mills theory.

Findings

Proves dual conformal symmetry in ten-dimensional super Yang-Mills.

Develops a ten-dimensional spinor-helicity formalism.

Discusses implications for four-dimensional amplitude computations.

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.