Algebraic Conformal Quantum Field Theory in Perspective
From MaRDI portal
Publication:2799464
DOI10.1007/978-3-319-21353-8_8zbMath1334.81092arXiv1501.03313OpenAlexW1954825292MaRDI QIDQ2799464
Publication date: 11 April 2016
Published in: Advances in Algebraic Quantum Field Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.03313
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of selfadjoint operator algebras to physics (46L60) Operator algebra methods applied to problems in quantum theory (81R15)
Related Items (5)
Toward entanglement entropy with UV-cutoff in conformal nets ⋮ A skeletal model for \(2\mathrm{d}\) conformal AQFTs ⋮ Braided categories of endomorphisms as invariants for local quantum field theories ⋮ Infinite index extensions of local nets and defects ⋮ Operads for algebraic quantum field theory
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Construction of wedge-local nets of observables through Longo-Witten endomorphisms
- An algebraic construction of boundary quantum field theory
- Warped convolutions, Rieffel deformations and the construction of quantum field theories
- Causal independence and the energy-level density of states in local quantum field theory
- How to remove the boundary in CFT --- an operator algebraic procedure
- Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics
- Fusion rules and modular transformations in 2D conformal field theory
- Local conformal nets arising from framed vertex operator algebras
- Topological sectors and a dichotomy in conformal field theory
- Partial wave expansion and Wightman positivity in conformal field theory
- Mirror extensions of local nets
- Morita classes of algebras in modular tensor categories
- String-localized quantum fields and modular localization
- Construction of quantum field theories with factorizing S-matrices
- Unitary representations of the Virasoro and super-Virasoro algebras
- The A-D-E classification of minimal and \(A_ 1^{(1)}\) conformal invariant theories
- Infinite conformal symmetry in two-dimensional quantum field theory
- Basic representations of affine Lie algebras and dual resonance models
- Locality and the structure of particle states
- The CPT-theorem in two-dimensional theories of local observables
- There are no scalar Lie fields in three or more dimensional space-time
- Extensions of conformal nets and superselection structures
- Modular invariants. Graphs and \(\alpha\)-induction for nets of subfactors. II
- Modular structure and duality in conformal quantum field theory
- Conformal subnets and intermediate subfactors
- Classification of two-dimensional local conformal nets with \(c<1\) and 2-cohomology vanishing for tensor categories
- Canonical tensor product subfactors
- Algebraic holography
- Classification of local conformal nets. Case \(c < 1\)
- On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories
- The conformal spin and statistics theorem
- Construction of wedge-local nets of observables through Longo-Witten endomorphisms. II
- Deformations of fermionic quantum field theories and integrable models
- On \(\alpha\)-induction, chiral generators and modular invariants for subfactors
- Chiral structure of modular invariants for subfactors
- On the equivalence of two deformation schemes in quantum field theory
- How to add a boundary condition
- New light on infrared problems: sectors, statistics, symmetries and spectrum
- Correspondences of ribbon categories
- The quest for understanding in relativistic quantum physics
- Modular theory and the reconstruction of four-dimensional quantum field theories
- ON A SUBFACTOR ANALOGUE OF THE SECOND COHOMOLOGY
- MODULAR LOCALIZATION AND WIGNER PARTICLES
- LOCAL FIELDS IN BOUNDARY CONFORMAL QFT
- NETS OF SUBFACTORS
- The current algebra on the circle as a germ of local field theories
- Conformal four point functions and the operator product expansion
- Braided structure in 4-dimensional conformal quantum field theory
- Multi-interval subfactors and modularity of representations in conformal field theory
This page was built for publication: Algebraic Conformal Quantum Field Theory in Perspective