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

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• The S-Matrix in Twistor Space
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• Explicit Action of E7(7) on N=8 Supergravity Fields
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• N=8 Supergravity 4-point Amplitudes
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• On a possibility of a UV finite N=8 supergravity
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