Entanglement entropy in top-down models

TL;DR

This paper verifies that holographic entanglement entropy calculations in ten-dimensional supergravity align with lower-dimensional Ryu-Takayanagi results, providing a general proof for the top-down approach.

Contribution

It demonstrates the equivalence of top-down and bottom-up entanglement entropy computations in supergravity models, including cases without consistent truncations.

Findings

Agreement between top-down and lower-dimensional entanglement entropy calculations

Validation of the minimal surface approach in diverse supergravity solutions

Proof of the top-down entanglement entropy formula using Lewkowycz-Maldacena method

Abstract

We explore holographic entanglement entropy in ten-dimensional supergravity solutions. It has been proposed that entanglement entropy can be computed in such top-down models using minimal surfaces which asymptotically wrap the compact part of the geometry. We show explicitly in a wide range of examples that the holographic entanglement entropy thus computed agrees with the entanglement entropy computed using the Ryu-Takayanagi formula from the lower-dimensional Einstein metric obtained from reduction over the compact space. Our examples include not only consistent truncations but also cases in which no consistent truncation exists and Kaluza-Klein holography is used to identify the lower-dimensional Einstein metric. We then give a general proof, based on the Lewkowycz-Maldacena approach, of the top-down entanglement entropy formula.