English

Einstein gravity from the ${\N=4}$ spinning particle

High Energy Physics - Theory 2018-11-14 v1

Abstract

We obtain a manifestly background independent BRST quantization of the N=4\N=4 supersymmetric spinning particle. We show that nilpotency of the BRST charge QQ implies the Einstein equations admitting a cosmological constant of indefinite sign. The physical graviton states are given by the vertex operator, obtained by an infinitesimal variation of QQ, acting on diffeomorphism ghost states. In addition, the tree-point graviton scattering vertex is correctly reproduced by the worldline computation with these vertex operators.

Keywords

Cite

@article{arxiv.1807.07989,
  title  = {Einstein gravity from the ${\N=4}$ spinning particle},
  author = {Roberto Bonezzi and Adiel Meyer and Ivo Sachs},
  journal= {arXiv preprint arXiv:1807.07989},
  year   = {2018}
}
R2 v1 2026-06-23T03:08:59.509Z