Entanglement entropy and duality in AdS4

  title={Entanglement entropy and duality in AdS4},
  author={Ioannis Bakas and Georgios Pastras},
  journal={Nuclear Physics},

Figures from this paper

Time-evolution of the holographic entanglement entropy and metric perturbationst

We study the holographic entanglement entropy under small deformations of anti-de Sitter (AdS) spacetime, including its time-dependence. Through perturbative analysis, the divergent terms are found

Shape dependence of renormalized holographic entanglement entropy

We study the holographic entanglement entropy of deformed entangling regions in three-dimensional CFTs dual to Einstein-AdS gravity, using a renormalization scheme based on the addition of extrinsic

Incomplete RG: Hawking-Page transition, C-theorem and relevant scalar deformations of global AdS

We discuss relevant scalar deformations of a holographic theory with a compact boundary. An example of such a theory would be the global AdS4 with its spatially compact boundary S2. To introduce a

Static elliptic minimal surfaces in $$\hbox {AdS}_4$$AdS4

The Ryu–Takayanagi conjecture connects the entanglement entropy in the boundary CFT to the area of open co-dimension two minimal surfaces in the bulk. Especially in $$\hbox {AdS}_4$$AdS4, the latter

Prepared for submission to JHEP Static Elliptic Minimal Surfaces in AdS 4

  • 2018

An inverse mass expansion for entanglement entropy in free massive scalar field theory

We extend the entanglement entropy calculation performed in the seminal paper by Srednicki (Phys Rev Lett 71:666, 1993) for free real massive scalar field theories in $$1+1$$1+1, $$2+1$$2+1 and



Gravitational dynamics from entanglement “thermodynamics”

A bstractIn a general conformal field theory, perturbations to the vacuum state obey the relation δS = δE, where δS is the change in entanglement entropy of an arbitrary ball-shaped region, and δE is

Towards a derivation of holographic entanglement entropy

We provide a derivation of holographic entanglement entropy for spherical entangling surfaces. Our construction relies on conformally mapping the boundary CFT to a hyperbolic geometry and observing

Holographic Derivation of Entanglement Entropy from AdS/CFT

A holographic derivation of the entanglement entropy in quantum (conformal) field theories is proposed from AdS/CFT correspondence. We argue that the entanglement entropy in d+1 dimensional conformal

Holographic derivation of entanglement entropy from the anti-de Sitter space/conformal field theory correspondence.

It is argued that the entanglement entropy in d + 1 dimensional conformal field theories can be obtained from the area of d dimensional minimal surfaces in AdS(d+2), analogous to the Bekenstein-Hawking formula for black hole entropy.

On the RG running of the entanglement entropy of a circle

We show, using strong subadditivity and Lorentz covariance, that in three dimensional space-time the entanglement entropy of a circle is a concave function. This implies the decrease of the

Duality in linearized gravity and holography

We consider spherical gravitational perturbations of AdS4 spacetime satisfying general boundary conditions at spatial infinity. Using the holographic renormalization method, we compute the

A covariant holographic entanglement entropy proposal

With an aim towards understanding the time-dependence of entanglement entropy in generic quantum field theories, we propose a covariant generalization of the holographic entanglement entropy proposal

Comments on quantum gravity and entanglement

In this note, we attempt to provide some insights into the structure of nonperturbative descriptions of quantum gravity using known examples of gaugetheory / gravity duality. We argue that in

Holographic c-theorems in arbitrary dimensions

We re-examine holographic versions of the c-theorem and entanglement entropy in the context of higher curvature gravity and the AdS/CFT correspondence. We select the gravity theories by tuning the