Braided categories of endomorphisms as invariants for local quantum field theories
From MaRDI portal
Publication:2413038
DOI10.1007/s00220-017-2937-3zbMath1406.18007arXiv1512.01995OpenAlexW3104104489MaRDI QIDQ2413038
Luca Giorgetti, Karl-Henning Rehren
Publication date: 6 April 2018
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.01995
conformal field theoryalgebraic quantum field theorymodular tensor categoriesconformal netDHR categoryDHR superselection theory
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Axiomatic quantum field theory; operator algebras (81T05)
Related Items
Galois correspondence and Fourier analysis on local discrete subfactors, Examples of subfactors from conformal field theory, Quantum operations on conformal nets, Wightman fields for two-dimensional conformal field theories with pointed representation category, Infinite index extensions of local nets and defects, Yang–Baxter endomorphisms
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A remark on CFT realization of quantum doubles of subfactors: case index \(<4\)
- An algebraic construction of boundary quantum field theory
- A new duality theory for compact groups
- Local aspects of superselection rules. II
- An algebraic version of Haag's theorem
- Models in boundary quantum field theory associated with lattices and loop group models
- Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics
- Local conformal nets arising from framed vertex operator algebras
- Conformal nets associated with lattices and their orbifolds
- Index of subfactors and statistics of quantum fields. II: Correspondences, braid group statistics and Jones polynomial
- Homotopy quantum field theory. With appendices by Michael Müger and Alexis Virelizier.
- On braided fusion categories. I
- On classification of modular tensor categories
- Local aspects of superselection rules
- Connes' bicentralizer problem and uniqueness of the injective factor of type \(III_ 1\)
- Duality and absence of locally generated superselection sectors for CCR- type algebras
- The CPT-theorem in two-dimensional theories of local observables
- Relativistic invariance and charge conjugation in quantum field theory
- On groups of automorphisms of operator algebras
- Extensions of conformal nets and superselection structures
- Operator algebras and conformal field theory. III: Fusion of positive energy representations of \(LSU(N)\) using bounded operators
- An algebraic characterization of vacuum states in Minkowski space
- Operator algebras and conformal field theory
- Modular structure and duality in conformal quantum field theory
- Half-sided modular inclusions of von Neumann-algebras
- A theory of dimension
- An analogue of the Kac-Wakimoto formula and black hole conditional entropy
- Conformal subnets and intermediate subfactors
- On the representation theory of Virasoro nets
- Chiral observables and modular invariants.
- Classification of local conformal nets. Case \(c < 1\)
- Index of subfactors and statistics of quantum fields. I
- Theory of operator algebras. II
- Conformal Haag-Kastler nets, pointlike localized fields and the existence of operator product expansions
- The conformal spin and statistics theorem
- Multilocal fermionization
- On \(\alpha\)-induction, chiral generators and modular invariants for subfactors
- Amenable tensor categories and their realizations as AFD bimodules
- Galois theory for braided tensor categories and the modular closure
- Recursive construction of operator product expansion coefficients
- Bicommutant categories from fusion categories
- Local rings and the connection of spin with statistics
- Fields, observables and gauge transformations. I
- Algebraic equivalence of locally normal representations
- Conditional expectations in von Neumann algebras
- Modular theory and the reconstruction of four-dimensional quantum field theories
- Macroscopic aspects of the Unruh effect
- Algebraic Conformal Quantum Field Theory in Perspective
- On the projection of norm one in $W^ *$-algebras
- Conformal field theory, tensor categories and operator algebras
- Nuclear C ∗ -Algebras have Amenable Unitary Groups
- On the duality condition for a Hermitian scalar field
- On the Structure of Modular Categories
- Algebraic orbifold conformal field theories
- A Cuntz algebra approach to the classification of near-group categories
- From Vertex Operator Algebras to Conformal Nets and Back
- LOCAL FIELDS IN BOUNDARY CONFORMAL QFT
- NETS OF SUBFACTORS
- The Witt group of non-degenerate braided fusion categories
- Tensor Categories and Endomorphisms of von Neumann Algebras
- Tensor Categories
- SUPERSELECTION SECTORS WITH BRAID GROUP STATISTICS AND EXCHANGE ALGEBRAS II: GEOMETRIC ASPECTS AND CONFORMAL COVARIANCE
- Modular Categories
- Infinite Unitary Groups
- Multi-interval subfactors and modularity of representations in conformal field theory
- Theory of operator algebras I.
- The Bisognano-Wichmann theorem for massive theories
