论文标题
纠缠否定性的极端缺陷
Defect extremal surfaces for entanglement negativity
论文作者
论文摘要
我们在缺陷广告/BCFT对应关系的框架中提出了半古典岛公式的双重全息版本,其中广告包含缺陷保形物质理论。在这种情况下,我们提出了一个缺陷的极端表面(DES)公式,用于计算由于缺陷问题理论对世界末日的贡献所修改的纠缠负性。 ADS $ _3 $/bcft $ _2 $框架在AD中证明了DES提案和半古典岛公式的等效性。此外,在与时间有关的广告$ _3 $/bcft $ _2 $方案中,涉及在较低维度有效描述中的永恒黑洞,我们研究了通过DES和岛屿公式的纠缠负态的时间演变,并获得页面曲线的类似物。
We propose a doubly holographic version of the semi-classical island formula for the entanglement negativity in the framework of the defect AdS/BCFT correspondence where the AdS bulk contains a defect conformal matter theory. In this context, we propose a defect extremal surface (DES) formula for computing the entanglement negativity modified by the contribution from the defect matter theory on the end-of-the-world brane. The equivalence of the DES proposal and the semi-classical island formula for the entanglement negativity is demonstrated in AdS$_3$/BCFT$_2$ framework. Furthermore, in the time-dependent AdS$_3$/BCFT$_2$ scenarios involving eternal black holes in the lower dimensional effective description, we investigate the time evolution of the entanglement negativity through the DES and the island formulae and obtain the analogues of the Page curves.