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 …

Recently, it has been observed that the Hartle-Hawking correlators, a signature of smooth
horizon, can emerge from certain heavy excited state correlators in the (manifestly non …

These lecture notes formed the basis of a mini-course on algebraic quantum field theory
presented at the Bootstrap 2024 conference in Madrid. The goal of the notes is to explain the …

Tomita-Takesaki theory associates a positive operator called the “modular operator” with a
von Neumann algebra and a cyclic-separating vector. Tomita's theorem says that the unitary …

This note aims to offer a non-technical and self-contained introduction to gravitational
algebras and their applications in the nonequilibrium physics of gravitational systems. We …

We study the algebra of observables in semiclassical quantum gravity for cosmological
backgrounds, focusing on two key examples: slow-roll inflation and evaporating …

The entanglement wedge reconstruction paradigm in AdS/CFT states that for a bulk qudit
within the entanglement wedge of a boundary subregion $\bar {A} $, operators acting on the …

In this work we make the connection between the Unruh-DeWitt particle detector model
applied to quantum field theory in curved spacetimes and the rigorous construction of the …

Chirality is a property of a gapped phase of matter in two spatial dimensions that can be
manifested through non-zero thermal or electrical Hall conductance. In this paper, we prove …

We explore nonequilibrium features of certain operator algebras which appear in quantum
gravity. The algebra of observables in a black hole background is a Type $\mathrm {II} _\infty …