Speaker
Prof.
Bianca Dittrich
Description
A quantum gravity theory should yield a prescription of how to assign quantum amplitudes to arbitrary boundary geometries. I will describe a renormalization program for background independent theories, where the coarseness of the boundary data is used to define a notion of scale and truncations for the renormalization flow. This allows to bootstrap the amplitudes from coarse to finer and finer amplitudes. I will then explore holographic properties of quantum gravity amplitudes for general, not necessarily asymptotic boundaries. We will see that three-dimensional quantum gravity allows for a holographic dual description, with a dual local field describing the embedding of the boundary into the higher dimensional space time. In the four-dimensional case a similar descriptions holds for the flat sector of the theory. Including curvature degrees of freedom leads to non-localities in the dual field.
