This article reviews the present status of the spin-foam approach to the quantization of
gravity. Special attention is payed to the pedagogical presentation of the recently-introduced …

We give, in some detail, a critical overview over recent work towards deriving a cosmological
phenomenology from the fundamental quantum dynamics of group field theory (GFT), based …

A bstract This is the first paper in a series devoted to understanding the classical and
quantum nature of edge modes and symmetries in gravitational systems. The goal of this …

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 bstract In the tetrad formulation of gravity, the so-called simplicity constraints play a central
role. They appear in the Hamiltonian analysis of the theory, and in the Lagrangian path …

We define in this paper a class of three-index tensor models, endowed with O (N)^ ⊗ 3 O
(N)⊗ 3 invariance (N being the size of the tensor). This allows to generate, via the usual QFT …

We construct a second quantized reformulation of canonical loop quantum gravity (LQG) at
both kinematical and dynamical level, in terms of a Fock space of spin networks, and show …

We provide a non-technical overview of recent extensions of renormalization methods and
techniques to Group Field Theories (GFTs), a class of combinatorially non-local quantum …

A bstract We show that the phase space of three-dimensional gravity contains two layers of
dualities: between diffeomorphisms and a notion of “dual diffeomorphisms” on the one hand …

The main focus of this thesis is the mathematical structure of Group Field Theories (GFTs)
from the point of view of renormalization theory. Such quantum field theories are found in …