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 …

An early result of algebraic quantum field theory is that the algebra of any subregion in a
QFT is a von Neumann factor of type III $ _ {1} $, in which entropy cannot be well-defined …

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 …

These notes grew from a series of lectures given by the authors during the last decade. They
will be published in the proceedings of TASI 2021. After a brief introduction to quantum …

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 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 …

A bstract The local two-dimensional Poincaré algebra near the horizon of an eternal AdS
black hole, or in proximity to any bifurcate Killing horizon, is generated by the Killing flow …

The modular (or entanglement) Hamiltonian correspondent to the half-space bipartition of a
quantum state uniquely characterizes its entanglement properties. However, in the context of …