Green, Michael B.Russo, J. G. (Jorge Guillermo)Vanhove, Pierre2010-06-112010-06-1120070031-9007https://hdl.handle.net/2445/12853We argue that recent results in string perturbation theory indicate that the four-graviton amplitude of four-dimensional N = 8 supergravity might be ultraviolet finite up to eight loops. We similarly argue that the h -loop M -graviton amplitude might be finite for h < 7 + M / 2 .4 p.application/pdfeng(c) American Physical Society, 2007Teoria quàntica de campsGravitacióQuantum field theoryGravitationinfo:eu-repo/semantics/article558256info:eu-repo/semantics/openAccess