Derive Einstein equation from CFT entanglement entropy

TL;DR

This paper demonstrates a method to derive Einstein's equations from the entanglement entropy in conformal field theories, linking quantum information with gravity.

Contribution

It provides a novel derivation of Einstein's equations directly from entanglement entropy in CFTs, emphasizing the role of disjoint regions.

Findings

Einstein equations can be derived from entanglement entropy in CFTs.

Disjoint regions' entanglement entropy encodes gravitational dynamics.

The approach bridges quantum information and classical gravity.

Abstract

We explicitly show how to derive the $(D+1)$-dimensional Einstein equation from the entanglement entropy between codimension-one {\it disjoint} regions in $D$-dimensional conformal field theory.