Description
I will present working towards a manifestly diffeomorphism invariant Exact Renormalization Group. Based on a generalization of the Polchinski flow equation, this is a method to study quantum gravity without fixing a gauge. It has both fixed-background and background-independent versions. Supersymmetry enters the formalism as a method of regularization. This is similar to Parisi-Sourlas supersymmetry in statistical field theory, which I will also outline.
