UV-complete gravity amplitudes and the triple product

We construct an infinite class of new ultraviolet-complete four-graviton scattering amplitudes that reduce to Einstein gravity at low energies, vanish at high energies, are meromorphic, and exhibit a triple-product structure A(s)A(t)A(u). The spectrum invariantly exhibits accumulation points in the form of infinite towers of states on each mass pole, whose residue can be positively expanded on tree-level exchanges of irreducible representations of the Lorentz group.

Automated summary

An infinite class of new ultraviolet-complete four-graviton scattering amplitudes is constructed, which exhibit several important features, including reducing to Einstein gravity, vanishing at high energies, and exhibiting a triple-product structure. Additionally, the study reveals some interesting results regarding mass poles.