Vacuum diagrams for a maximally supersymmetric gravity theory. These three-loop diagrams show unexpected cancellations, suggesting it could be a perturbatively finite theory of quantum gravity.

From the article:

Cancellations Beyond Finiteness in $\mathcal{N}=8$ Supergravity at Three Loops
Z. Bern, J. J. Carrasco, L. J. Dixon, H. Johansson, D. A. Kosower, and R. Roiban
Phys. Rev. Lett. 98, 161303 (2007)

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