The vanishing volume of D=4 superspace

Details The vanishing volume of D=4 superspace The vanishing volume of D=4 superspace

2011-05-30

arxiv.org/abs/1105.6087v2

Physics

High Energy Physics

High Energy Physics - Theory

Minor clarifications and references added. Version to be published

Scientific paper

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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