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arXiv · 1105.6087

The vanishing volume of D=4 superspace

G. Bossard·P. S. Howe·K. S. Stelle·P. Vanhove
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Abstract

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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G. Bossard, P. S. Howe, K. S. Stelle, P. Vanhove. 2011-08-25. The vanishing volume of D=4 superspace. https://doi.org/10.1088/0264-9381%2F28%2F21%2F215005

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