Nets of subfactors

R Longo, KH Rehren - Reviews in Mathematical Physics, 1995 - World Scientific
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) …

Symmetries in quantum field theory and quantum gravity

D Harlow, H Ooguri - Communications in Mathematical Physics, 2021 - Springer
In this paper we use the AdS/CFT correspondence to refine and then establish a set of old
conjectures about symmetries in quantum gravity. We first show that any global symmetry …

On revolutionizing quantum field theory with Tomita's modular theory

HJ Borchers - Journal of mathematical Physics, 2000 - pubs.aip.org
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 …

Emergent times in holographic duality

S Leutheusser, H Liu - Physical Review D, 2023 - APS
In holographic duality an eternal Anti-de Sitter black hole is described by two copies of the
boundary Conformal Field Theory in the thermal field double state. In this paper we provide …

A canonical purification for the entanglement wedge cross-section

S Dutta, T Faulkner - Journal of High Energy Physics, 2021 - Springer
A bstract In AdS/CFT we consider a class of bulk geometric quantities inside the
entanglement wedge called reflected minimal surfaces. The areas of these surfaces are dual …

The generally covariant locality principle–a new paradigm for local quantum field theory

R Brunetti, K Fredenhagen, R Verch - Communications in Mathematical …, 2003 - Springer
A new approach to the model-independent description of quantum field theories will be
introduced in the present work. The main feature of this new approach is to incorporate in a …

[HTML][HTML] A finite entanglement entropy and the c-theorem

H Casini, M Huerta - Physics Letters B, 2004 - Elsevier
The trace over the degrees of freedom located in a subset of the space transforms the
vacuum state into a mixed density matrix with nonzero entropy. This is usually called …

Generalized symmetries and Noether's theorem in QFT

V Benedetti, H Casini, JM Magán - Journal of High Energy Physics, 2022 - Springer
A bstract We show that generalized symmetries cannot be charged under a continuous
global symmetry having a Noether current. Further, only non-compact generalized …

Quantum reference frames, measurement schemes and the type of local algebras in quantum field theory

CJ Fewster, DW Janssen, LD Loveridge… - … in Mathematical Physics, 2025 - Springer
We develop an operational framework, combining relativistic quantum measurement theory
with quantum reference frames (QRFs), in which local measurements of a quantum field on …

Algebraic quantum field theory

H Halvorson, M Müger - arxiv preprint math-ph/0602036, 2006 - arxiv.org
Algebraic quantum field theory provides a general, mathematically precise description of the
structure of quantum field theories, and then draws out consequences of this structure by …