When left and right disagree: entropy and von Neumann algebras in quantum gravity with general AlAdS boundary conditions

DOI10.1007/jhep08(2024)010MaRDI QIDQ6619118

Donald Marolf, Daiming Zhang

Publication date: 15 October 2024

Published in: Journal of High Energy Physics (Search for Journal in Brave)

zbMATH Keywords

AdS-CFT correspondencemodels of quantum gravity

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46Lxx) Foundations, quantum information and its processing, quantum axioms, and philosophy (81Pxx) General relativity (83Cxx)

Cites Work

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• Generalized gravitational entropy
• Quantum corrections to holographic entanglement entropy
• Replica wormholes and the entropy of Hawking radiation
• Local subsystems in gauge theory and gravity
• Deriving covariant holographic entanglement
• Wormholes, emergent gauge fields, and the weak gravity conjecture
• Entropy, extremality, Euclidean variations, and the equations of motion
• Entanglement wedge reconstruction and the information paradox
• The Ryu-Takayanagi formula from quantum error correction
• Observations of Hawking radiation: the Page curve and baby universes
• Replica wormholes and the black hole interior
• Transcending the ensemble: baby universes, spacetime wormholes, and the order and disorder of black hole information
• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
• Gravity and the crossed product
• Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence
• Commutation theorems and generalized commutation relations
• Large \(N\) algebras and generalized entropy
• A trace inequality for Euclidean gravitational path integrals (and a new positive action conjecture)

Related Items (1)

Algebras and Hilbert spaces from gravitational path integrals. Understanding Ryu-Takayanagi/HRT as entropy without AdS/CFT

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