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

S. Deser·D. Seminara
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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 from the nonrenormalizability of its lower-dimensional counterparts.

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S. Deser, D. Seminara. 2000-02-28. Tree Amplitudes and Two-loop Counterterms in D=11 Supergravity. https://doi.org/10.1103/physrevd.62.084010

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