SURPRISING SIMPLICITY OF $\mathcal{N}=8$ SUPERGRAVITY.

Gravity amplitudes are, via the Kawai–Lewellen–Tye relations intimately linked to products of Yang–Mills amplitudes. Explicitly, this shows up in computations of $\mathcal{N}=8$ supergravity where the perturbative expansion and ultraviolet behavior of this theory is akin to $\mathcal{N}=4$ super-Yang–Mills at least through three loops. Full persistence to all loop orders would be truly remarkable and imply finiteness of $\mathcal{N}=8$ supergravity in four dimensions. [ABSTRACT FROM AUTHOR]