Extracting Spacetimes using the AdS/CFT Conjecture: Part II

TL;DR

This paper explores how to reconstruct the bulk spacetime geometry in AdS/CFT using holographic entanglement entropy, providing analytic and perturbative methods for static, symmetric spacetimes.

Contribution

It introduces new analytic and perturbative techniques to recover bulk metrics from boundary entanglement entropy in highly symmetric AdS spacetimes.

Findings

Derived analytic expressions for bulk metric functions from entanglement entropy.

Developed perturbative formulas for metric recovery in specific boundary subsystems.

Discussed potential generalizations of the metric extraction method.

Abstract

Motivated by the holographic principle, within the context of the AdS/CFT Correspondence in the large t'Hooft limit, we investigate how the geometry of certain highly symmetric bulk spacetimes can be recovered given information of physical quantities in the dual boundary CFT. In particular, we use holographic entanglement entropy proposal (relating the entanglement entropy of certain subsystems on the boundary to the area of static minimal surfaces) to recover the bulk metric using higher dimensional minimal surface probes within a class of static, planar symmetric, asymptotically AdS spacetimes. We find analytic and perturbative expressions for the metric function in terms of the entanglement entropy of straight belt and circular disk subsystems of the boundary theory respectively. Finally, we discuss how such extractions can be generalised.