We elaborate on our earlier proposal connecting entanglement renormalization and
holographic duality in which we argued that a tensor network can be reinterpreted as a kind …

It is shown that a 2D conformal field theory consisting of a central charge c Liouville theory, a
chiral level one, rank N Kac-Moody algebra, and a weight-3/2 free fermion holographically …

A cornerstone of the loop quantum gravity program is the fact that the phase space of
general relativity on a fixed graph can be described by a product of SU (2) cotangent …

Intertwiners are the building blocks of spin-network states. The space of intertwiners is the
quantization of a classical symplectic manifold introduced by Kapovich and Millson. Here we …

We compute the transition amplitude between coherent quantum states of geometry peaked
on homogeneous-isotropic metrics. We work in the context of pure gravity without matter, we …

In a previous paper we showed that the phase space of loop quantum gravity on a fixed
graph can be parametrized in terms of twisted geometries, quantities describing the intrinsic …

In the long-standing quest to reconcile gravity with quantum mechanics, profound
connections have been unveiled between concepts traditionally pertaining to a quantum …

The Lorentzian Engle-Pereira-Rovelli-Livine (EPRL) spin foam amplitude for loop quantum
gravity is a multidimensional noncompact integral of highly oscillating functions. Using a …

In this paper we discuss a proposal of coherent states for loop quantum gravity. These states
are labeled by a point in the phase space of general relativity as captured by a spin-network …

Topological quantum field theories (TQFTs) provide a general, minimal-assumption
language for describing quantum-state preparation and measurement. They therefore …