A short review of loop quantum gravity

A Ashtekar, E Bianchi - Reports on Progress in Physics, 2021 - iopscience.iop.org
An outstanding open issue in our quest for physics beyond Einstein is the unification of
general relativity (GR) and quantum physics. Loop quantum gravity (LQG) is a leading …

Corner symmetry and quantum geometry

L Freidel, M Geiller, W Wieland - Handbook of Quantum Gravity, 2024 - Springer
By virtue of the Noether theorems, the vast gauge redundancy of general relativity provides
us with a rich algebra of boundary charges that generate physical symmetries. These …

The Weyl BMS group and Einstein's equations

L Freidel, R Oliveri, D Pranzetti, S Speziale - Journal of High Energy …, 2021 - Springer
A bstract We propose an extension of the BMS group, which we refer to as Weyl BMS or
BMSW for short, that includes super-translations, local Weyl rescalings and arbitrary …

Null Raychaudhuri: canonical structure and the dressing time

L Ciambelli, L Freidel, RG Leigh - Journal of High Energy Physics, 2024 - Springer
A bstract We initiate a study of gravity focusing on generic null hypersurfaces, non-
perturbatively in the Newton coupling. We present an off-shell account of the extended …

Higher spin dynamics in gravity and celestial symmetries

L Freidel, D Pranzetti, AM Raclariu - Physical Review D, 2022 - APS
In this paper we extract from a large-r expansion of the vacuum Einstein's equations a
dynamical system governing the time evolution of an infinity of higher-spin charges. Upon …

Extended corner symmetry, charge bracket and Einstein's equations

L Freidel, R Oliveri, D Pranzetti, S Speziale - Journal of High Energy …, 2021 - Springer
A bstract We develop the covariant phase space formalism allowing for non-vanishing flux,
anomalies, and field dependence in the vector field generators. We construct a charge …

Edge modes of gravity. Part I. Corner potentials and charges

L Freidel, M Geiller, D Pranzetti - Journal of High Energy Physics, 2020 - Springer
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 …

Edge modes of gravity. Part II. Corner metric and Lorentz charges

L Freidel, M Geiller, D Pranzetti - Journal of High Energy Physics, 2020 - Springer
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 …

Dynamical edge modes and entanglement in Maxwell theory

A Ball, YT Law, G Wong - Journal of High Energy Physics, 2024 - Springer
A bstract Previous work on black hole partition functions and entanglement entropy suggests
the existence of “edge” degrees of freedom living on the (stretched) horizon. We identify a …

Embeddings and integrable charges for extended corner symmetry

L Ciambelli, RG Leigh, PC Pai - Physical review letters, 2022 - APS
We revisit the problem of extending the phase space of diffeomorphism-invariant theories to
account for embeddings associated with the boundary of subregions. We do so by …