English

Tree Amplitudes and Two-loop Counterterms in D=11 Supergravity

High Energy Physics - Theory 2008-11-26 v1 General Relativity and Quantum Cosmology

Abstract

We compute the tree level 4-particle bosonic scattering amplitudes in D=11 supergravity. By construction, they are part of a linearized supersymmetry-, coordinate- and 3-form gauge-invariant. While this on-shell invariant is nonlocal, suitable SUSY-preserving differentiations turn it into a local one with correct dimension to provide a natural lowest (two-loop) order counterterm candidate. Its existence shows explicitly that no symmetries protect this ultimate supergravity from the nonrenormalizability of its lower-dimensional counterparts.

Keywords

Cite

@article{arxiv.hep-th/0002241,
  title  = {Tree Amplitudes and Two-loop Counterterms in D=11 Supergravity},
  author = {S. Deser and D. Seminara},
  journal= {arXiv preprint arXiv:hep-th/0002241},
  year   = {2008}
}

Comments

14 pages

R2 v1 2026-07-22T14:56:56.506Z