From the Corner Proposal to the Area Law

2025/10/29 by Kowalski-Glikman, Jerzy, Varrin, Ludovic · 2 citations
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2510.25851

Abstract

We provide an explicit realization of the Corner Proposal for Quantum Gravity in the case of spherically symmetric spacetimes in four dimensions, or equivalently, two-dimensional dilaton gravity. We construct coherent states of the Quantum Corner Symmetry group and compute the entanglement entropy relative to these states. We derive the classical corner charges and relate them to operator expectation values in coherent states. For a subset of coherent states that we call classical states, we find that the entanglement entropy exhibits a leading term proportional to the area, recovering the Bekenstein-Hawking area law in the semiclassical limit.

Citations

• The Semi-Classical Limit of Quantum Gravity on Corners
• Entanglement Entropy of Quantum Corners
• Orbit method for Quantum Corner Symmetries
• Quantum Corner Symmetry: Representations and Gluing
• Cornering Quantum Gravity
• Black Hole Entropy and Induced Gravity
• Entropy and Area
• Generalized coherent states and some of their applications

Cited by

• Wiggling boundary and corner edge modes in JT gravity with defects
• The Semi-Classical Limit of Quantum Gravity on Corners

Related

• Entanglement Entropy of Quantum Corners
• The Semi-Classical Limit of Quantum Gravity on Corners
• Quantum Corner Symmetry: Representations and Gluing
• On the Architecture of Spacetime Geometry
• Area Operators in Holographic Quantum Gravity