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Three-Loop Superfiniteness of N=8 Supergravity

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arxiv hep-th/0702112 v2 pith:TGCY47VR submitted 2007-02-14 hep-th

Z. Bern , J. J. Carrasco , L. J. Dixon , H. Johansson , D. A. Kosower , R. Roiban This is my paper · ORCID
classification hep-th
keywords dimensionsfinitesupergravitytheoryamplitudecancellationsfourthree-loop
verification ladder T0 review T1 audit T2 compute T3 formal
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We construct the three-loop four-point amplitude of N=8 supergravity using the unitarity method. The amplitude is ultraviolet finite in four dimensions. Novel cancellations, not predicted by traditional superspace power-counting arguments, render its degree of divergence in D dimensions to be no worse than that of N=4 super-Yang-Mills theory -- a finite theory in four dimensions. Similar cancellations can be identified at all loop orders in certain unitarity cuts, suggesting that N=8 supergravity may be a perturbatively finite theory of quantum gravity.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Three-Loop Five-Point CK-Dual Amplitudes and UV Structure in N=4 SYM and N=8 SUGRA

    hep-th 2026-08 conditional novelty 7.0 of 10

    First explicit full-color three-loop five-point CK-dual integrand for N=4 SYM, with its N=8 SUGRA double copy and D=6 UV poles.

  2. Entire Four-Graviton EFT from the Duality Between Color and Kinematics

    hep-th 2026-01 conditional novelty 7.0 of 10

    Every parity-even four-graviton amplitude in any spacetime dimension can be constructed from gauge-theory building blocks via double or triple color-kinematics copies, with the D>6 Lovelock R^3 term as the unique trip...

  3. Energy correlators in four-dimensional gravity

    hep-th 2025-12 conditional novelty 6.0 of 10

    Gravitational energy correlators in four dimensions are computed at one loop, shown to be infrared-finite, and resummed in the back-to-back limit by soft-graviton exponentiation.

  4. Anomaly cancellation and one-loop finiteness of 6D half-maximal supergravities

    hep-th 2025-12 unverdicted novelty 3.0 of 10

    Anomaly-free SO(5,21) and SO(4,20) G-duality symmetries are proposed to explain the one-loop finiteness of 6D half-maximal supergravities, by analogy with E_{7(7)} in 4D.

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