味的HEE和HSC：开弦几何中的微扰结构
HEE and HSC for flavors: perturbative structure in open string geometries
摘要：
在D-膜世界中引入电场在开弦几何中诱导了一个由膜涨落感知的视界。我们研究全息纠缠熵（HEE）和子区域复杂性（HSC）在这些渐近AdS几何在三维，四维和五维旨在捕捉这些量的味道部门介绍的D-膜。条形和球形子区域都被考虑。我们发现，与开弦视界相关的贝肯斯坦-霍金熵，以前未能再现边界中的热熵，现在精确地匹配高温下的纠缠熵。我们在计算HEE的同时检验了嵌入函数定理的有效性，并试图重现纠缠热力学第一定律，至少在主导阶。在所得结果的基础上，我们还反映了应用Ryu-Takayanagi建议对这些非爱因斯坦几何的后果。
英文摘要：
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.
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