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

Abstract

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.

Corrected version for publication in JHEP. 79 pages

References in corpus (5)

• Three-Loop Superfiniteness of N=8 Supergravity
• Stringy KLT relations, global symmetries, and E_7(7) violation
• Decoupling Supergravity from the Superstring
• Explicit Action of E7(7) on N=8 Supergravity Fields
• Shadow Fields and Local Supersymmetric Gauges

Cited by in corpus (7)

• E7(7) constraints on counterterms in N=8 supergravity
• On duality symmetries of supergravity invariants
• N=8 Counterterms and E7(7) Current Conservation
• A note on N=8 counterterms
• Note on Bonus Relations for N=8 Supergravity Tree Amplitudes
• On the dynamical generation of the Maxwell term and scale invariance
• Perturbative and Non-Perturbative Aspects of N=8 Supergravity