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10D Super-Yang-Mills Scattering Amplitudes From Its Pure Spinor Action

High Energy Physics - Theory 2021-12-22 v1

Abstract

Using the pure spinor master action for 10D super-Yang-Mills in the gauge b0V=QΞb_{0}V = Q\Xi, tree-level scattering amplitudes are calculated through the perturbiner method, and shown to match those obtained from pure spinor CFT techniques. We find kinematic numerators made of nested bb-ghost operators, and show that the Siegel gauge condition b0V=0b_{0}V = 0 gives rise to color-kinematics duality satisfying numerators whose Jacobi identity follows from the Jacobi identity of a kinematic algebra.

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Cite

@article{arxiv.2108.11708,
  title  = {10D Super-Yang-Mills Scattering Amplitudes From Its Pure Spinor Action},
  author = {Maor Ben-Shahar and Max Guillen},
  journal= {arXiv preprint arXiv:2108.11708},
  year   = {2021}
}

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36 pages