In the framework of locally covariant quantum field theory, a theory is described as a functor
from a category of spacetimes to a category of*-algebras. It is proposed that the global …

Discrete subfactors include a particular class of infinite index subfactors and all finite index
ones. A discrete subfactor is called local when it is braided and it fulfills a commutativity …

Conformal inclusions of chiral conformal field theories, or more generally inclusions of
quantum field theories, are described in the von Neumann algebraic setting by nets of …

The special theory of relativity and quantum mechanics merge in the key principle of
quantum field theory, the principle of locality. We review some examples of its …

A new method for computing exact conformal partial wave expansions is developed and
applied to approach the problem of Hilbert space (Wightman) positivity in a nonperturbative …

The superselection sectors of two classes of scalar bilocal quantum fields in D≥ 4
dimensions are explicitly determined by working out the constraints imposed by unitarity …

We provide a complete classification of unitary subalgebras of even rank-one lattice vertex
operator algebras. As a consequence of the correspondence between vertex operator …

In the past two-dimensional models of QFT have served as theoretical laboratories for
testing new concepts under mathematically controllable condition. In more recent times low …

Conformal Quantum Field Theories (CFT) in 1 or 1+ 1 spacetime dimensions (respectively
called chiral and full CFTs) admit several" axiomatic"(mathematically rigorous and model …

We provide a model independent construction of a net of C*-algebras satisfying the Haag–
Kastler axioms over any spacetime manifold. Such a net, called the net of causal loops, is …