Odd entanglement entropy in boundary conformal field theories and holographic moving mirrors

TL;DR

This paper explores the entanglement structure in boundary conformal field theories using odd entanglement entropy, extending holographic duality to moving mirror models simulating black hole radiation.

Contribution

It introduces a novel analysis of odd entanglement entropy in BCFTs and extends holographic duality to dynamic moving mirror scenarios.

Findings

Consistent extension of holographic duality between OEE and EWCS in BCFTs.

Validation of holographic duality in moving mirror models simulating black hole radiation.

Comparison of boundary entanglement measures with bulk geometric quantities.

Abstract

In this article, we investigate the entanglement structure of bipartite mixed states in (1+1)-dimensional boundary conformal field theories (BCFT$_2$s) through the odd entanglement entropy (OEE) by employing an appropriate replica technique. In this regard we compare our results with the bulk entanglement wedge cross section (EWCS) for AdS$_3$ geometries with an end-of-the-world brane. We observe consistent extension of the holographic duality between the difference of the OEE and the entanglement entropy (EE) with the bulk EWCS, in the framework of AdS$_3$/BCFT$_2$ holography. Furthermore, we also extend our computations to the holographic moving mirror models where the Hawking radiation from eternal and evaporating black holes may be simulated depending on certain mirror profiles, and find consistent extension of the aforementioned holographic duality.