论文标题

hee and HSC的口味:开放弦几何形状中的扰动结构

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

论文作者

Banerjee, Avik, Bhattacharya, Aranya, Maulik, Sabyasachi

论文摘要

D-Brane WorldVolume中电场的引入引起了棕褐色波动所感知的开放字符串几何形状的地平线。我们研究了这些渐近广告的几何形状,研究了三个,四个和五个维度,旨在在D-Branes引入的风味部门中捕获这些数量的几何形状,研究了全息纠缠熵(HEE)和子区域复杂性(HSC)。都考虑了条带和球形子区域。我们表明,与开放式弦弦相关的Bekenstein-Hawking熵,该地平线早些时候未能再现边界中的热熵,现在与高温下的纠缠熵匹配。我们在计算HEE时检查了嵌入功能定理的有效性,并尝试重现纠缠热力学的第一定律,至少在领先顺序下。根据获得的结果,我们还反思了将Ryu-Takayanagi提案应用于这些非Einenstein几何形状的后果。

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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