REVIEW 7 cited by
Corner symmetry and quantum geometry
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
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 charges are located at codimension-2 entangling surfaces called corners. The presence of non-trivial corner symmetries associated with any entangling cut provides stringent constraints on the theory's mathematical structure and a guide through quantization. This report reviews new and recent results for non-perturbative quantum gravity, which are natural consequences of this structure. First, we establish that the corner symmetry derived from the gauge principle encodes quantum entanglement across internal boundaries. We also explain how the quantum representation of the corner symmetry algebra provides us with a notion of quantum geometry. We then focus our discussion on the first-order formulation of gravity and show how many results obtained in the continuum connect naturally with previous results in loop quantum gravity. In particular, we show that it is possible to get, purely from quantization and without discretization, an area operator with discrete spectrum, which is covariant under local Lorentz symmetry. We emphasize that while loop gravity correctly captures some of the gravitational quantum numbers, it does not capture all of them, which points towards important directions for future developments. Finally, we discuss the understanding of the gravitational dynamics along null surfaces as a conservation of symmetry charges associated with a Carrollian fluid.
Forward citations
Cited by 7 Pith papers
-
Schr\"odinger Symmetry in Spherically-symmetric Static Mini-superspaces with Matter Fields
Spherically symmetric static gravity with Maxwell or massless-scalar matter exhibits Schrödinger symmetry after a canonical transformation, yielding (A)dS-Reissner-Nordström and generalized Janis-Newman-Winicour solutions.
-
Relational entanglement entropies and quantum reference frames in gauge theories
Quantum reference frames built from Wilson lines give lattice gauge theories gauge-invariant subsystem factorizations and a hierarchy of relational entanglement entropies.
-
Surg-InvNeRF: Invertible NeRF for 3D tracking and reconstruction in surgical vision
An invertible-NeRF test-time optimization approach tracks points in 2D and 3D across surgical videos, reporting roughly 50% higher average precision than prior optimization-based 2D trackers.
-
Foundational Structure of Local Amplitudes in Quantum Gravity
Local amplitudes for causal diamonds can be constructed from null-slab boundary states, projectors, and vacuum intertwiners, with Ward identities and charge conservation as consequences.
-
Entanglement Entropy of Quantum Corners
For a two-dimensional corner symmetry algebra, coherent corner states give an entanglement entropy that scales with the area when mapped to near-extremal Reissner-Nordström black holes.
-
Orbit method for Quantum Corner Symmetries
Coadjoint orbits of the quantum corner symmetry group factorize into SL(2,R) and Heisenberg orbits, and their geometric quantization reproduces the known unitary representations, apart from the complementary series an...
-
Emergent Holographic Spacetime from Quantum Information
Takayanagi's essay outlines a research program in which holographic spacetime, including the time direction, may emerge from entanglement, complexity, and complex-valued pseudo-entropy, without presenting a new derivation.
Discussion (0). Continue with ORCID to comment.