The Effective Action of N=8 Supergravity

Abstract

We present a simple form of the on-shell gauge-invariant 1-loop effective action of N=8 supergravity which is manifestly N=8 supersymmetric at the linear level. By generalizing the dimensional arguments in superspace to non-local invariants, we show that the 1-loop effective action does not contain any contributions from bubble and triangle diagrams. The absence of bubbles implies the absence of conformal and axial anomalies. We also show that the 1-loop effective action of N=8 supergravity features a "dual" conformal symmetry in the momentum space.

17 pages

References in corpus (1)

• $R^4$ terms in supergravity and M-theory

Cited by in corpus (4)

• Explicit Action of E7(7) on N=8 Supergravity Fields
• On the structure of scattering amplitudes in N=4 super Yang-Mills and N=8 supergravity
• On Cancellations of Ultraviolet Divergences in Supergravity Amplitudes
• On a possibility of a UV finite N=8 supergravity