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

Abstract

Using the pure spinor master action for 10D super-Yang-Mills in the gauge $b_{0}V=Q\Xi$, 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 $b$-ghost operators, and show that the Siegel gauge condition $b_{0}V=0$ gives rise to color-kinematics duality satisfying numerators whose Jacobi identity follows from the Jacobi identity of a kinematic algebra.

arXiv comment36 pages

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