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 …

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 …

For a zero-temperature Landau symmetry-breaking transition in n-dimensional space that
completely breaks a finite symmetry G, the critical point at the transition has the symmetry G …

In this Letter we show that a set of old conjectures about symmetries in quantum gravity hold
within the anti–de Sitter/conformal field theory correspondence. These conjectures are that …

A review is made of the multitude of different mathematical formalizations of the physical
concept 'two observables (or two systems) are independent'that have been proposed in …

Given the local observables in the vacuum sector fulfilling a few basic principles of local
quantum theory, we show that the superselection structure, intrinsically determined a priori …

A bstract We show that generalized symmetries cannot be charged under a continuous
global symmetry having a Noether current. Further, only non-compact generalized …

We define and study two-dimensional, chiral conformal field theory by the methods of
algebraic field theory. We start by characterizing the vacuum sectors of such theories and …

We review the physical meaning of modular invariance for unitary conformal quantum field
theories in d= 2. For quantum field theory models, while T invariance is necessary for …

A bstract Exploiting the split property of quantum field theories (QFTs), a notion of von
Neumann entropy associated to pairs of spatial subregions has been recently proposed …