A bstract We consider entanglement entropy in quantum field theories with a gravity dual. In
the gravity description, the leading order contribution comes from the area of a minimal …

A bstract We identify conditions for the entanglement entropy as a function of spatial region
to be compatible with causality in an arbitrary relativistic quantum field theory. We then prove …

The covariant holographic entropy conjecture of AdS/CFT relates the entropy of a boundary
region R to the area of an extremal surface in the bulk spacetime. This extremal surface can …

A bstract We develop a new setting in the framework of braneworld holography to describe a
pair of coupled and entangled uniformly accelerated universes. The model consists of two …

A bstract Purification is a powerful technique in quantum physics whereby a mixed quantum
state is extended to a pure state on a larger system. This process is not unique, and in …

The discussions in § 2 and § 3 make it rather clear that while we have to evaluate a
sequence of functional integrals to compute the Rényi entropies, these are rather complex …

We give a brief review of the AdS/CFT correspondence, which posits the equivalence
between a certain gravitational theory and a lower-dimensional non-gravitational one. This …

We propose a new duality relation between codimension-two space-like surfaces in
gravitational theories and quantum states in dual Hilbert spaces. This surface state …

A bstract The volume of the region inside the bulk Ryu-Takayanagi surface is a codimension-
one object, and a natural generalization of holographic complexity to the case of subregions …

We embed spherical Rindler space—a geometry with a spherical hole in its center—in
asymptotically anti–de Sitter (AdS) spacetime and show that it carries a gravitational entropy …