A subtheory of a quantum field theory specifies von Neumann subalgebras (the
'observables' in the space-time region) of the von Neumann algebras (the'field'localized in) …

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 …

Making use of a recent result of Borchers, an algebraic version of the Bisognano-Wichmann
theorem is given for conformal quantum field theories, ie the Tomita-Takesaki modular group …

We define and study two-dimensional, chiral conformal field theory by the methods of
algebraic field theory. We start by characterizing the vacuum sectors of such theories and …

We review the physical meaning of modular invariance for unitary conformal quantum field
theories in d= 2. For quantum field theory models, while T invariance is necessary for …

The general theory of superselection sectors is shown to provide almost all the structure
observed in two-dimensional conformal field theories. Its application to two-dimensional …

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 …

Quantum energy inequalities (QEIs) are state-independent lower bounds on weighted
averages of the stress-energy tensor, and have been established for several free quantum …

We continue to develop the theory of separable higher categories, including center functors,
higher centralizers, modular extensions and group theoretical higher fusion categories …