Algebras, regions, and observers

DOI10.1090/pspum/107/01954MaRDI QIDQ6609120

Edward Witten

Publication date: 20 September 2024

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Mirror symmetry (algebro-geometric aspects) (14J33)

Cites Work

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• Covariant residual entropy
• Quantum inequalities from operator product expansions
• Towards a quantum theory of de Sitter space
• Duality for crossed products and the structure of von Neumann algebras of type III
• Axiomatic quantum field theory in curved spacetime
• Unique continuation for operators with partially analytic coefficients
• Wormholes, emergent gauge fields, and the weak gravity conjecture
• Generalized global symmetries
• Symmetries in quantum field theory and quantum gravity
• Entropic order parameters for the phases of QFT
• De Sitter holography and entanglement entropy
• Gravity and the crossed product
• Comments on the entanglement spectrum of de Sitter space
• Theorems on gravitational time delay and related issues
• COSMOLOGICAL BREAKING OF SUPERSYMMETRY?
• Monopoles, Duality, and String Theory
• Über die Vollständigkeit lorentzinvarianter Felder in einer zeitartigen Röhre
• Field operators asC ∞ functions in spacelike directions
• General Relativity
• Positive vacuum energy and the \(N\)-bound
• On the local structure of the Klein-Gordon field on curved spacetimes
• An algebra of observables for de Sitter space
• Large \(N\) algebras and generalized entropy

Related Items (16)

Holographic complexity of the extended Schwarzschild-de Sitter space ⋮ Closed FRW holography: a time-dependent ER=EPR realization ⋮ State-independent black hole interiors from the crossed product ⋮ Subregion independence in gravity ⋮ Behind-the-horizon excitations from a single 2d CFT ⋮ Ghost problem, spectrum identities and various constraints on brane-localized gravity ⋮ Algebras and their covariant representations in quantum gravity ⋮ The cosmological switchback effect. II. ⋮ Open AdS/CFT via a double-trace deformation ⋮ Relativity of the event: examples in JT gravity and linearized GR ⋮ Towards complexity in de Sitter space from the doubled-scaled Sachdev-Ye-Kitaev model ⋮ Moving mirrors, OTOCs and scrambling ⋮ Fluctuation theorems, quantum channels and gravitational algebras ⋮ Janus deformation of de Sitter space and transitions in gravitational algebras ⋮ Gravitational algebras and the generalized second law ⋮ A multiverse model in \(T^2\) dS wedge holography

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