The vanishing volume of D=4 superspace

G. Bossard (1) , P. S. Howe (2) , K. S. Stelle (3) , P. Vanhove (4, 5)

1 CPHT - Centre de Physique Théorique [Palaiseau]
2 King‘s College London
3 Imperial College London
4 IHES - Institut des Hautes Études Scientifiques
5 IPHT - Institut de Physique Théorique - UMR CNRS 3681

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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

G. Bossard, P. S. Howe, K. S. Stelle, P. Vanhove. The vanishing volume of D=4 superspace. 2011. ⟨hal-00597157⟩