Reconstructing the Bulk Dual of ABJM from Holographic Entanglement Entropy

TL;DR

This paper reconstructs the AdS4 bulk metric from the holographic entanglement entropy of the ABJM theory, demonstrating a direct link between entanglement structure and spacetime geometry in a specific supersymmetric CFT.

Contribution

It provides a method to derive the bulk AdS4 metric and radius solely from entanglement entropy in the ABJM theory, advancing the understanding of holographic spacetime emergence.

Findings

Successfully reconstructed the pure AdS4 metric from ABJM entanglement entropy.

Predicted the AdS radius using entanglement data.

Supports the holographic principle linking entanglement and spacetime geometry.

Abstract

Recent work has shown that entanglement and the structure of spacetime are intimately related. One way to investigate this is to begin with an entanglement entropy in a conformal field theory (CFT) and use the AdS/CFT correspondence to calculate the bulk metric. We perform this calculation for ABJM, a particular 3-dimensional supersymmetric CFT (SCFT), in its ground state. In particular we are able to reconstruct the pure AdS4 metric from the holographic entanglement entropy of the boundary ABJM theory in its ground state. Moreover, we are able to predict the correct AdS radius purely from entanglement. We also address the general philosophy of relating entanglement and spacetime through the Holographic Principle, as well as some of the philosophy behind our calculations.