## 7 Citations

### Time-evolution of the holographic entanglement entropy and metric perturbationst

- Physics
- 2015

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

- Physics
- 2020

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…

### Holographic entanglement entropy for charged accelerating AdS black holes

- PhysicsNuclear Physics B
- 2019

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

- Physics
- 2021

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

- Mathematics
- 2016

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

- Physics
- 2017

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…

## References

SHOWING 1-10 OF 41 REFERENCES

### Gravitational dynamics from entanglement “thermodynamics”

- Physics
- 2014

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

- Physics
- 2011

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

- Physics
- 2006

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.

- PhysicsPhysical review letters
- 2006

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

- Physics
- 2012

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

- Physics
- 2009

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

- Physics
- 2007

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

- Physics
- 2009

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

- Physics
- 2011

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…