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

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arxiv hep-th/0002241 v1 pith:CSFC36FW submitted 2000-02-28 hep-th gr-qc

S. Deser , D. Seminara This is my paper
classification hep-thgr-qc
keywords supergravityamplitudestreetwo-loopbosoniccandidatecomputeconstruction
verification ladder T0 review T1 audit T2 compute T3 formal
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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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  1. Effective Action in M-Theory: $(DF)^4$ Superinvariants

    hep-th 2025-07 conditional novelty 6.0 of 10

    A local supersymmetry analysis reduces the 24 independent (DF)^4 terms in the M-theory eight-derivative action to 10 free parameters, consistent with scattering amplitude results.

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