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 …

Any four-dimensional Supersymmetric Quantum Field Theory with eight supercharges can
be associated to a certain complex symplectic manifold called the" K-theoretic Coulomb …

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 …

By applying loop quantum gravity techniques to 3D gravity with a positive cosmological
constant Λ, we show how the local gauge symmetry of the theory, encoded in the constraint …

This is the first of a series of papers dedicated to the study of the partition function of three-
dimensional quantum gravity on the twisted solid torus with the aim to deepen our …

We present a generalization of Minkowski's classic theorem on the reconstruction of
tetrahedra from algebraic data to homogeneously curved spaces. Euclidean notions such as …

We present a line of research aimed at investigating holographic dualities in the context of
three dimensional quantum gravity within finite bounded regions. The bulk quantum …

We recently introduced a new representation for loop quantum gravity (LQG), which is based
on the BF vacuum and is in this sense much nearer to the spirit of spin foam dynamics. In the …

We construct in this article a new realization of quantum geometry, which is obtained by
quantizing the recently-introduced flux formulation of loop quantum gravity. In this …