A bstract We determine the Tomita-Takesaki modular data for CFTs in double cone and light
cone regions in conformally flat spacetimes. This includes in particular the modular …

We compute the relative entropy between the vacuum and a coherent state for a massive
scalar field in de Sitter spacetime, using Tomita-Takesaki modular theory and the Araki …

Various aspects of the geometric setting of Algebraic Quantum Field Theory (AQFT) models
related to representations of the Poincaré group can be studied for general Lie groups …

Let G be a connected simple linear Lie group and H in G a symmetric subgroup such that the
corresponding symmetric space G/H is non-compactly causal. We show that any irreducible …

Motivated by constructions in Algebraic Quantum Field Theory we introduce wedge domains
in compactly causal symmetric spaces, which includes in particular anti-de Sitter space in all …

The relative entropy of certain states on the algebra of canonical anticommutation relations
(CAR) is studied in the present work. The CAR algebra is used to describe fermionic …

We study the modular Hamiltonian associated with a Gaussian state on the Weyl algebra.
We obtain necessary/sufficient criteria for the local equivalence of Gaussian states …

We derive an entropy-area law for the future horizon of an observer in diamonds inside a
static patch of de Sitter space-time, taking into account the back reaction of quantum matter …

This article is part of an ongoing project aiming at the connections between causal structures
on homogeneous spaces, Algebraic Quantum Field Theory, modular theory of operator …

We show that conditional expectations, optimal hypotheses, disintegrations and adjoints of
unital completely positive maps are all instances of Bayesian inverses. We study the …