In the book of Haag [Local Quantum Physics (Springer Verlag, Berlin, 1992)] about local
quantum field theory the main results are obtained by the older methods of C*-and W …

We propose a framework for the free field construction of algebras of local observables
which uses as an input the Bisognano–Wichmann relations and a representation of the …

We describe the structure of the inclusions of factors?(E)⊂?(E′)′ associated with multi-
intervals E⊂ ℝ for a local irreducible net? of von Neumann algebras on the real line …

We completely classify diffeomorphism covariant local nets of von Neumann algebras on the
circle with central charge c less than 1. The irreducible ones are in bijective correspondence …

We consider unitary simple vertex operator algebras whose vertex operators satisfy certain
energy bounds and a strong form of locality and call them strongly local. We present a …

We consider a type III subfactor N⊂ N of finite index with a finite system of braided NN
morphisms which includes the irreducible constituents of the dual canonical endomorphism …

We prove that a haploid associative algebra in a C∗-tensor category C is equivalent to a Q-
system (a special C∗-Frobenius algebra) in C if and only if it is rigid. This allows us to prove …

Let V be a simple vertex operator algebra (VOA) and consider a representation category of V
that is a vertex tensor category in the sense of Huang–Lepowsky. In particular, this category …

In this paper we further analyze modular invariants for subfactors, in particular the structure
of the chiral induced systems of MM morphisms. The relative braiding between the chiral …

C* tensor categories are a point of contact where Operator Algebras and Quantum Field
Theory meet. They are the underlying unifying concept for homomorphisms of (properly …