From Operator Algebras to Superconformal Field Theory
arXiv:1003.2925 · doi:10.1063/1.3285045
Abstract
We make a review on the recent progress in the operator algebraic approach to (super)conformal field theory. We discuss representation theory, classification results, full and boundary conformal field theories, relations to supervertex operator algebras and Moonshine, connections to subfactor theory and noncommutative geometry.
References in corpus (26)
- Multi-interval Subfactors and Modularity of Representations in Conformal Field Theory
- Modular Structure and Duality in Conformal Quantum Field Theory
- Nets of Subfactors
- Modular Invariants, Graphs and -Induction for Nets of Subfactors. III
- Applications of braided endomorphisms from conformal inclusions
- Chiral structure of modular invariants for subfactors
- On -induction, chiral generators and modular invariants for subfactors
- Framed vertex operator algebras, codes and the moonshine module
- Exotic subfactors of finite depth with Jones indices (5+sqrt{13})/2 and (5+sqrt{17})/2
- Modular Invariants, Graphs and -Induction for Nets of Subfactors I
- Topological Sectors and a Dichotomy in Conformal Field Theory
- Local fields in boundary conformal QFT
- Modular Invariants, Graphs and -Induction for Nets of Subfactors II
- Classification of Two-dimensional Local Conformal Nets with c<1 and 2-cohomology Vanishing for Tensor Categories
- Notes for a Quantum Index Theorem
- Algebraic orbifold conformal field theories
- Local conformal nets arising from framed vertex operator algebras
- Structure and Classification of Superconformal Nets
- Algebraic Coset Conformal field theories
- On the uniqueness of diffeomorphism symmetry in Conformal Field Theory
- Noncommutative Spectral Invariants and Black Hole Entropy
- Twenty-five years of two-dimensional rational conformal field theory
- Spectral triples and the super-Virasoro algebra
- Algebraic Supersymmetry: A case study
- The classification of non-local chiral CFT with c<1
- On Haagerup's list of potential principal graphs of subfactors