HEE and HSC for flavors: perturbative structure in open string geometries

TL;DR

This paper investigates holographic entanglement entropy and subregion complexity in open string geometries with electric fields, revealing their relation to thermal entropy and thermodynamics in flavor sectors of holographic models.

Contribution

It introduces the study of HEE and HSC in open string geometries with electric fields, analyzing their behavior and thermodynamic relations in various dimensions.

Findings

Open string horizon entropy matches boundary thermal entropy at high temperatures.

Validation of embedding function theorem in HEE calculations.

Insights into Ryu-Takayanagi proposal application on non-Einstein geometries.

Abstract

Introduction of electric field in the D-brane worldvolume induces a horizon in the open string geometry perceived by the brane fluctuations. We study the holographic entanglement entropy (HEE) and subregion complexity (HSC) in these asymptotically AdS geometries in three, four and five dimensions aiming to capture these quantities in the flavor sector introduced by the D-branes. Both the strip and spherical subregions have been considered. We show that the Bekenstein-Hawking entropy associated with the open string horizon, which earlier failed to reproduce the thermal entropy in the boundary, now precisely matches with the entanglement entropy at high temperatures. We check the validity of embedding function theorem while computing the HEE and attempt to reproduce the first law of entanglement thermodynamics, at least at leading order. On the basis of obtained results, we also reflect upon consequences of applying Ryu-Takayanagi proposal on these non-Einstein geometries.