Proof of the generalized second law for rapidly changing fields<? format?> and arbitrary horizon slices
AC Wall - Physical Review D—Particles, Fields, Gravitation, and …, 2012 - APS
The generalized second law is proven for semiclassical quantum fields falling across a
causal horizon, minimally coupled to general relativity. The proof is much more general than …
causal horizon, minimally coupled to general relativity. The proof is much more general than …
Relative entropy and curved spacetimes
Given any half-sided modular inclusion of standard subspaces, we show that the entropy
function associated with the decreasing one-parameter family of translated standard …
function associated with the decreasing one-parameter family of translated standard …
Modular conjugations in 2D conformal field theory and holographic bit threads
A bstract We study the geometric action of some modular conjugations in two dimensional
(2D) conformal field theories. We investigate the bipartition given by an interval when the …
(2D) conformal field theories. We investigate the bipartition given by an interval when the …
Modular conjugation for the chiral fermion in multicomponent regions on the torus
N Abate, M Koifman - Physical Review D, 2023 - APS
We continue the study of the Tomita-Takesaki modular conjugation for a massless Dirac field
in a generic multicomponent region in 1+ 1 spacetime dimensions. In this paper we focus on …
in a generic multicomponent region in 1+ 1 spacetime dimensions. In this paper we focus on …
Probability distributions for the stress tensor in conformal field theories
CJ Fewster, S Hollands - Letters in Mathematical Physics, 2019 - Springer
The vacuum state—or any other state of finite energy—is not an eigenstate of any smeared
(averaged) local quantum field. The outcomes (spectral values) of repeated measurements …
(averaged) local quantum field. The outcomes (spectral values) of repeated measurements …
Non-equilibrium thermodynamics and conformal field theory
S Hollands, R Longo - Communications in Mathematical Physics, 2018 - Springer
We present a model independent, operator algebraic approach to non-equilibrium quantum
thermodynamics within the framework of two-dimensional Conformal Field Theory. Two …
thermodynamics within the framework of two-dimensional Conformal Field Theory. Two …
Thermal states in conformal QFT. II
We continue the analysis of the set of locally normal KMS states wrt the translation group for
a local conformal net A of von Neumann algebras on R. In the first part we have proved the …
a local conformal net A of von Neumann algebras on R. In the first part we have proved the …
Kosaki-Longo index and classification of charges in 2D quantum spin models
P Naaijkens - Journal of Mathematical Physics, 2013 - pubs.aip.org
We consider charge superselection sectors of two-dimensional quantum spin models
corresponding to cone localisable charges, and prove that the number of equivalence …
corresponding to cone localisable charges, and prove that the number of equivalence …
How to add a boundary condition
Given a conformal QFT local net of von Neumann algebras B _2 on the two-dimensional
Minkowski spacetime with irreducible subnet A ⊗ A, where A is a completely rational net on …
Minkowski spacetime with irreducible subnet A ⊗ A, where A is a completely rational net on …
Super-KMS functionals for graded-local conformal nets
R Hillier - Annales Henri Poincaré, 2015 - Springer
Motivated by a few preceding papers and a question of R. Longo, we introduce super-KMS
functionals for graded translation-covariant nets over RR with superderivations, roughly …
functionals for graded translation-covariant nets over RR with superderivations, roughly …