The pure spinor superparticle and 10D super-Yang-Mills amplitudes

2025/08/27 by Guillen, Max, Santos, Marcelo dos, Viana, Eggon · 2 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2508.19601

Abstract

We present a prescription for computing tree-level scattering amplitudes in 10D super-Yang-Mills (SYM) theory using the pure spinor worldline formalism. The pure spinor formalism has proven to be a powerful framework for studying supersymmetric field theories, providing manifestly covariant and BRST-invariant formulations of amplitudes. By incorporating the worldline approach, we construct a first-quantized representation of SYM amplitudes in 10D, where interactions are encoded through the insertion of vertex operators along the particle's trajectory. We explicitly compute the N-point function, demonstrating an agreement with the limit α' → 0 of open superstring amplitudes and confirming that the kinematic numerators satisfy the expected BRST relations. Our results establish the pure spinor worldline formalism as a tool for studying scattering amplitudes and suggest further applications to 11D supergravity.

Citations

• The 11D pure spinor ghost number zero vertex operator
• Tree-level 11D supergravity amplitudes from the pure spinor worldline
• Tree-level Graviton Scattering in the Worldline Formalism
• Superspace Expansion of The 11D Linearized Superfields in The Pure Spinor Formalism, and The Covariant Vertex Operator
• Notes on the 11D pure spinor wordline vertex operators
• Pure spinors and D=11 supergravity
• A Pure Spinor Twistor Description of the D=10 Superparticle
• A Pure Spinor Twistor Description of Ambitwistor Strings
• Two-loop superstring five-point amplitudes I: Construction via chiral splitting and pure spinors
• Complete N-Point Superstring Disk Amplitude I. Pure Spinor Computation

Cited by

• Tree-level 11D supergravity amplitudes from the pure spinor worldline
• The 11D pure spinor ghost number zero vertex operator

Related

• Tree-level 11D supergravity amplitudes from the pure spinor worldline
• Superstring Scattering Amplitudes with the Pure Spinor Formalism
• Tension between string amplitude prescriptions with presumed spacetime supersymmetry
• Complete N-Point Superstring Disk Amplitude I. Pure Spinor Computation
• Equivalence Proof of Pure Spinor and Ramond-Neveu-Schwarz Superstring Amplitudes