E7(7) symmetry in perturbatively quantised N=8 supergravity

Guillaume Bossard (1) , Hermann Nicolai (1) , Christian Hillmann (2)

1 AEI - Max-Planck-Institut für Gravitationsphysik ( Albert-Einstein-Institut )
2 IHES - Institut des Hautes Études Scientifiques

We study the perturbative quantisation of N=8 supergravity in a formulation where its E7(7) symmetry is realised off-shell. Relying on the cancellation of SU(8) current anomalies we show that there are no anomalies for the non-linearly realised E7(7) either; this result extends to all orders in perturbation theory. As a consequence, the e7(7) Ward identities can be consistently implemented and imposed at all orders in perturbation theory, and therefore potential divergent counterterms must in particular respect the full non-linear E7(7) symmetry.

Mots clés: renormalisation; supersymmetry; supergravity

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

Guillaume Bossard, Hermann Nicolai, Christian Hillmann. E7(7) symmetry in perturbatively quantised N=8 supergravity. Journal of High Energy Physics, 2010, 2010 (12), pp.052. ⟨10.1007/JHEP12(2010)052⟩. ⟨hal-00604405⟩