Entanglement entropy and duality in AdS4

@article{Bakas2015EntanglementEA,
title={Entanglement entropy and duality in AdS4},
author={Ioannis Bakas and Georgios Pastras},
journal={Nuclear Physics},
year={2015},
volume={896},
pages={440-469}
}
• Published 2 March 2015
• Physics
• Nuclear Physics
7 Citations

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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.

• Physics
Physical 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

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

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