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

TL;DR

This paper introduces a pure spinor worldline formalism for calculating tree-level scattering amplitudes in 11D supergravity, providing a systematic and gauge-invariant approach that aligns with known results and extends to N-point amplitudes.

Contribution

The authors develop a novel pure spinor worldline method for 11D supergravity amplitudes, ensuring BRST symmetry, gauge invariance, and extending to arbitrary N-point functions.

Findings

Consistent 4-point amplitude expression with BRST symmetry

Amplitude matches perturbiner method results

Framework extends to N-point amplitudes

Abstract

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.