By virtue of the Noether theorems, the vast gauge redundancy of general relativity provides
us with a rich algebra of boundary charges that generate physical symmetries. These …

In quantum gravity, we envision renormalization as the key tool for bridging the gap between
microscopic models and observable scales. For spin foam quantum gravity, which is defined …

A bstract In this second paper of the series we continue to spell out a new program for
quantum gravity, grounded in the notion of corner symmetry algebra and its representations …

A number of approaches to four-dimensional quantum gravity, such as loop quantum gravity
and holography, situate areas as their fundamental variables. However, this choice of …

Spin foams provide path integrals for quantum gravity, which employ discretizations as
regulator. To obtain regulator independent predictions, we must remove these fiducial …

The first computation of a spin foam dynamics that provides a test of the quantum equations
of motions of gravity is presented. Specifically, a triangulation that includes an inner edge is …

We study the expectation value of a nonplanar Wilson graph operator in SL (2, C) Chern–
Simons theory on S 3. In particular we analyze its asymptotic behavior in the double-scaling …

We construct a new vacuum and representation for loop quantum gravity. Because the new
vacuum is based on BF theory, it is physical for (2+ 1)-dimensional gravity, and much closer …

One of the most pressing issues for loop quantum gravity and spin foams is the construction
of the continuum limit. In this paper, we propose a systematic coarse-graining scheme for …

In this paper, we show how extended topological quantum field theories (TQFTs) can be
used to obtain a kinematical setup for quantum gravity, ie a kinematical Hilbert space …