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 …

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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 provide a rigorous lattice approximation of conformal field theories given in terms of
lattice fermions in 1+ 1-dimensions, focussing on free fermion models and Wess–Zumino …

We consider the relative entropy between the vacuum state and a state obtained by applying
an exponentiated stress tensor to the vacuum of a chiral conformal field theory on the …

We show that for a conformal local net of observables on the circle, the split property is
automatic. Both full conformal covariance (ie, diffeomorphism covariance) and the circle …

We generalize the Carpi-Kawahigashi-Longo-Weiner correspondence between vertex
operator algebras and conformal nets to the case of vertex operator superalgebras and …

We describe a coordinate-free perspective on conformal nets, as functors from intervals to
von Neumann algebras. We discuss an operation of fusion of intervals and observe that a …

We prove an equivalence between the following notions:(i) unitary Möbius vertex algebras,
and (ii) Wightman conformal field theories on the circle (with finite-dimensional conformal …

We study the general structure of Fermi conformal nets of von Neumann algebras on S 1
and consider a class of topological representations, the general representations, that we …