Tree amplitudes and two-loop counterterms in D=11 supergravity

S. Deser and D. Seminara
Phys. Rev. D 62, 084010 – Published 21 September 2000
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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.

  • Received 28 February 2000

DOI:https://doi.org/10.1103/PhysRevD.62.084010

©2000 American Physical Society

Authors & Affiliations

S. Deser

  • Physics Department, Brandeis University, Waltham, Massachusetts 02454

D. Seminara*

  • Laboratoire de Physique Théorique, École Normale Supérieure, F-75231, Paris CEDEX 05, France

  • *Present address: Dipartimento di Fisica, Università, di Firenze, Largo E. Fermi 2, Firenze, Italy.

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Vol. 62, Iss. 8 — 15 October 2000

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