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

TL;DR

This paper computes 10D super-Yang-Mills scattering amplitudes using the pure spinor formalism, revealing a connection to color-kinematics duality and nested b-ghost operators, and confirms consistency with conformal field theory results.

Contribution

It introduces a novel method to derive scattering amplitudes from the pure spinor master action, demonstrating the emergence of color-kinematics duality in this framework.

Findings

Matching of amplitudes with pure spinor CFT results

Identification of kinematic numerators with nested b-ghosts

Establishment of color-kinematics duality in 10D super-Yang-Mills

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.