A generalized Amit-Roginsky vector model in flat space is obtained as the effective
dynamics of pertubations around a classical solution of the Boulatov group field theory for …

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 …

A bstract We revisit the Amit-Roginsky (AR) model in the light of recent studies on Sachdev-
Ye-Kitaev (SYK) and tensor models, with which it shares some important features. It is a …

Three-dimensional (3D) loop quantum gravity with a vanishing cosmological constant can
be related to the quantization of the SU (2) BF theory discretized on a lattice. At the classical …

In the context of a canonical quantization of general relativity, one can deform the loop
gravity phase space on a graph by replacing the T^* SU (2) T∗ SU (2) phase space attached …

We study generating functions for the scalar products of SU (2) coherent intertwiners, which
can be interpreted as coherent spin network evaluations on a 2-vertex graph. We show that …

The goal of this paper is to exhibit a deep relation between the partition function of the Ising
model on a planar trivalent graph and the generating series of the spin network evaluations …

We study classical and quantum (at large-N) field equations of bosonic tensor models with
quartic interactions and O (N) 3 symmetry. Among various possible patterns of spontaneous …

We introduce a fully coherent spin network amplitude whose expansion generates all SU (2)
spin networks associated with a given graph. We then give an explicit evaluation of this …

SU (2) BF phase. We introduce a new scalar Hamiltonian, based on recent works in
quantum gravity and topological models, which is different from the plaquette operator. Its …