Nuclearity and thermal states in conformal field theory

DOI10.1007/s00220-006-0127-9zbMath1187.81193arXivmath-ph/0603083OpenAlexW3099037524MaRDI QIDQ883030

Detlev Buchholz, Claudio D'Antoni, Roberto Longo

Publication date: 31 May 2007

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0603083

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of operator theory in the physical sciences (47N50) Applications of selfadjoint operator algebras to physics (46L60) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Applications of functional analysis in quantum physics (46N50)

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Cites Work

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• Causal independence and the energy-level density of states in local quantum field theory
• Modular nuclearity and localization
• Analytic vectors
• Standard and split inclusions of von Neumann algebras
• Nuclear maps and modular structures. I: General properties
• On the nuclearity condition for massless fields
• Convergence of local charges and continuity properties of \(W^*\)- inclusions
• On the existence of equilibrium states in local quantum field theory
• Modular structure of the local algebras associated with the free massless scalar field theory
• Generalized nuclearity conditions and the split property in quantum field theory
• The CPT-theorem in two-dimensional theories of local observables
• Extensions of conformal nets and superselection structures
• Modular structure and duality in conformal quantum field theory
• Half-sided modular inclusions of von Neumann-algebras
• Nuclear maps and modular structures. II: Applications to quantum field theory
• An algebraic spin and statistics theorem
• Two-dimensional models as testing ground for principles and concepts of local quantum physics
• Inequalities for traces on von Neumann algebras
• Noncommutative spectral invariants and black hole entropy
• MODULAR LOCALIZATION AND WIGNER PARTICLES
• EXTENSION OF THE STRUCTURE THEOREM OF BORCHERS AND ITS APPLICATION TO HALF-SIDED MODULAR INCLUSIONS
• Charges in spacelike cones
• Notes for a quantum index theorem

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