The goal of this review is to present an introduction to loop quantum gravity—a background-
independent, non-perturbative approach to the problem of unification of general relativity …

The search for a theory of quantum gravity has for a long time been almost fruitless. A few
years ago, however, Ashtekar found a reformulation of Hamiltonian gravity, which thereafter …

A bstract We elaborate on various aspects of our top-down celestial holographic duality
wherein the semiclassical bulk spacetime is a 4d asymptotically flat, self-dual Kähler …

Quantum gravity poses the problem of merging quantum mechanics and general relativity,
the two great conceptual revolutions in the physics of the twentieth century. The loop and …

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 …

We propose a new, chiral description for massive higher-spin particles in four spacetime
dimensions, which facilitates the introduction of consistent interactions. As proof of concept …

In Refs. 1 and 2, it was proposed that the quantum theory of gravity could take the form of a
very special type of discrete model on a triangulated 4-manifold, which has the property that …

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 …

A bstract The question of whether the holomorphic collinear singularities of graviton
amplitudes define a consistent chiral algebra has garnered much recent attention. We …

While the use of spin networks has greatly improved our understanding of the kinematical
aspects of quantum gravity, the dynamical aspects remain obscure. To address this problem …