If N=8 Supergravity turned out to be finite to all loops in Feynman diagrams, would it be a complete theory of quantum gravity?
Some people have said that a theory like loop quantum gravity is needed to understand the discreteness of space-time.
But if N=8 was finite, surely this would render LQG irrelevant?
What I'm asking is, if just the finiteness of a supergravity theory is enough to explain the structure of space-time. Or would it still be lacking something that would need to be explained by a deeper theory of quantum space-time?
(Here I'm ignoring the fact that Supergravity doesn't seem to predict the correct standard model.)