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Physics NotePublished

The vanishing volume of \boldmath D=4D=4 superspace

Guillaume Bossard; P.S. Howe; K.S. Stelle; Pierre Vanhove

Publication details

Authors
Guillaume Bossard; P.S. Howe; K.S. Stelle; Pierre Vanhove
Type
Physics Note
Status
Published
Publication date
15/07/2011
Description
The volume of on-shell $D=4$, $\cN=8$ superspace is shown to vanish. Despite this, it is shown that there is a fully supersymmetric and duality-invariant candidate $\nabla^8R^4$ 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 $\nabla^6R^4$ invariant. Similar results are derived for $\cN=4,5\ \&\ 6$.}
Year
2011
Number
CBPF-NF-011/11
Linked to a thesis
No
Linked to a grant
No
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