Year: 2000
Type: article
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: Indeed this invariant, together with the recently calculated infinite coefficient of its 4-graviton part, constitutes a demonstration of two-loop non-renormalizability.
Authors: S. Deser, D. Seminara
Institutions: Brandeis University, École Normale Supérieure - PSL
Language: Latvian
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
Funder: National Science Foundation
OpenAlex ID: W2083831604
