# On the AdS/CFT correspondence and quantum entanglement

@inproceedings{Ydri2021OnTA, title={On the AdS/CFT correspondence and quantum entanglement}, author={Badis Ydri}, year={2021} }

String theory provides one of the most deepest insights into quantum gravity. Its single most central and profound result is the gauge/gravity duality, i.e. the emergence of gravity from gauge theory. The two examples of M(atrix)-theory and the AdS/CFT correspondence, together with the fundamental phenomena of quantum entanglement, are of paramount importance to many fundamental problems including the physics of black holes (in particular to the information loss paradox), the emergence of…

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SHOWING 1-10 OF 47 REFERENCES

Holographic Entanglement Entropy: An Overview

- Physics
- 2009

In this paper, we review recent progress on the holographic understanding of the entanglement entropy in the anti-de Sitter space/conformal field theory (AdS/CFT) correspondence. In general, the…

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…

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…

Black hole entropy in canonical quantum gravity and superstring theory.

- Physics, MedicinePhysical review. D, Particles and fields
- 1994

The entropy per unit area is shown to be finite to all orders in superstring perturbation theory, and the importance of these conclusions to the resolution of the problem of black hole information loss is reiterated.

Gravitation from entanglement in holographic CFTs

- Physics
- 2014

A bstractEntanglement entropy obeys a ‘first law’, an exact quantum generalization of the ordinary first law of thermodynamics. In any CFT with a semiclassical holographic dual, this first law has an…

Anti-de Sitter space and holography

- Physics
- 1998

Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of…

A Review of the Holographic Relation between Linearized Gravity and the First Law of Entanglement Entropy

- Physics
- 2017

This thesis reviews the conjectured holographic relation between entanglement and gravity due to Mark van Raamsdonk and collaborators. It is accounted how the linearized Einstein equations both with…

Aspects of Holographic Entanglement Entropy

- Physics
- 2006

This is an extended version of our short report [1], where a holographic interpretation of entanglement entropy in conformal field theories is proposed from AdS/CFT correspondence. In addition to a…

An Introduction to Black Holes, Information And The String Theory Revolution: The Holographic Universe

- Physics
- 2004

Over the last decade the physics of black holes has been revolutionized by developments that grew out of Jacob Bekenstein's realization that black holes have entropy. Stephen Hawking raised profound…

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…