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The vanishing volume of D=4 superspace

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arxiv 1105.6087 v2 pith:7OO3JUYE submitted 2011-05-30 hep-th

G. Bossard , P. S. Howe , K. S. Stelle , P. Vanhove This is my paper · ORCID
classification hep-th
keywords countertermsuperspacevolumeanticipatedcandidatecompleteconstructcorresponding
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The volume of on-shell D=4, N=8 superspace is shown to vanish. Despite this, it is shown that there is a fully supersymmetric and duality-invariant candidate d^8 R^4 counterterm corresponding to an anticipated seven-loop logarithmic divergence in D=4. We construct this counterterm explicitly and also give the complete nonlinear extension of the 1/8-BPS d^6 R^4 invariant. Similar results are derived for N=4,5 & 6.

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  1. Gravity loop integrands from the ultraviolet

    hep-th 2019-09 conditional novelty 7.0 of 10

    Four-dimensional N=8 supergravity loop integrands scale one power better at infinity than general-D power-counting predicts, and this homogeneous scaling combined with BCFW behavior uniquely fixes the integrand throug...

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