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

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