We revisit the canonical framework for general relativity in its connection-vierbein
formulation, recasting the Gauss law, the Bianchi identity and the space diffeomorphism bulk …

In this work, we study the Hilbert space space of N-valent SU (2) intertwiners with fixed total
spin, which can be identified, at the classical level, with a space of convex polyhedra with N …

We investigate the geometry of the space of N-valent SU (2) intertwiners. We propose a new
set of holomorphic operators acting on this space and a new set of coherent states which are …

In a spin-network basis state, nodes of the graph describe unentangled quantum regions of
space, quantum polyhedra. In this paper we show how entanglement between intertwiner …

We are interested in black holes in Loop Quantum Gravity (LQG). We study the simple model
of static black holes: the horizon is made of a given number of identical elementary surfaces …

We explore the classical setting for the U (N) framework for SU (2) intertwiners for loop
quantum gravity and describe the corresponding phase space in terms of spinors with the …

Within the framework of spinfoam models, we revisit the simplicity constraints reducing
topological BF theory to 4D Riemannian gravity. We use the reformulation of SU (2) …

We summarize recent developments at the interface of quantum gravity and quantum
information, and discuss applications to the quantum geometry of space in loop quantum …

In many quantum gravity approaches, the cosmological constant is introduced by deforming
the gauge group into a quantum group. In three dimensions, the quantization of the Chern …

We construct SU (N) irreducible Schwinger bosons satisfying certain U (N-1) constraints
which implement the symmetries of SU (N) Young tableaues. As a result all SU (N) …