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.

36 pages

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• Gauge independent kinematic algebra of self-dual Yang-Mills theory
• One-loop off-shell amplitudes from classical equations of motion
• Manifest colour-kinematics duality and double-copy in the string-based formalism
• Double Copy from Tensor Products of Metric BV${}^{■}$-algebras
• Tree-Level Color-Kinematics Duality from Pure Spinor Actions
• Homotopy double copy and the Kawai-Lewellen-Tye relations for the non-abelian and tensor Navier-Stokes equations
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• Taming the 11D pure spinor b-ghost
• One-loop $N$-point correlators in pure gravity
• The double copy effective action: a quantum (chromodynamics) approach to space-time
• Ambitwistor Yang-Mills Theory Revisited