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

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Autor(es):
Guillen, Max ; dos Santos, Marcelo ; Viana, Eggon
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Journal of High Energy Physics; v. N/A, n. 12, p. 36-pg., 2025-12-05.
Resumo

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 alpha '-> 0 limit 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. (AU)

Processo FAPESP: 19/21281-4 - Dualidade gravitação / Teoria de gauge
Beneficiário:Horatiu Stefan Nastase
Modalidade de apoio: Auxílio à Pesquisa - Temático
Processo FAPESP: 22/00940-2 - Métodos cohomológicos em AdS/CFT
Beneficiário:Eggon Viana Teixeira Galvão
Modalidade de apoio: Bolsas no Brasil - Doutorado