Tree-level 11D supergravity amplitudes from the pure spinor worldline

A bstract We develop a pure spinor worldline formalism for computing tree-level scattering amplitudes in 11D supergravity. Focusing first on the 4-point amplitude, we demonstrate that our prescription is consistent with BRST symmetry and gauge invariance, and that the resulting expression is invariant under permutation of the external particles. Remarkably, the amplitude admits a compact representation in pure spinor superspace and agrees precisely with the result obtained via perturbiner methods. We further extend our construction to the N-point case, proposing a general correlator that preserves BRST closure and gauge invariance, thereby offering a systematic framework for higher-point computations in 11D supergravity.

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Publication Details

Journal
Journal of High Energy Physics
Published
2026-01-12
DOI
https://doi.org/10.1007/jhep01(2026)074
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
0.00

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article

Tree-level 11D supergravity amplitudes from the pure spinor worldline

Max Guillen, Magna Santos, Eggon Viana
Journal of High Energy Physics
Black Holes and Theoretical Physics
article

Tree-level 11D supergravity amplitudes from the pure spinor worldline

Max Guillen, Magna Santos, Eggon Viana
article en

Abstract

A bstract We develop a pure spinor worldline formalism for computing tree-level scattering amplitudes in 11D supergravity. Focusing first on the 4-point amplitude, we demonstrate that our prescription is consistent with BRST symmetry and gauge invariance, and that the resulting expression is invariant under permutation of the external particles. Remarkably, the amplitude admits a compact representation in pure spinor superspace and agrees precisely with the result obtained via perturbiner methods. We further extend our construction to the N-point case, proposing a general correlator that preserves BRST closure and gauge invariance, thereby offering a systematic framework for higher-point computations in 11D supergravity.

Journal of High Energy PhysicsVol. 2026(1)
Uppsala University (SE), Consejo Superior de Investigaciones Científicas (ES), Durham University (GB), Universidade de Santiago de Compostela (ES), University of California System (US), Chalmers University of Technology (SE), University of Gothenburg (SE)
Abdus Salam International Centre for Theoretical Physics, Knut och Alice Wallenbergs Stiftelse, ICTP South American Institute for Fundamental Research
Openalex Percentile: Top 86%
Black Holes and Theoretical Physics
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Tree-level 11D supergravity amplitudes from the pure spinor worldline — Max Guillen, Magna Santos, et al. · Journal of High Energy Physics (2026) | TGRS Research Map | TGRS