论文标题
全息纠缠熵和全息亚区域复杂性的通用部分
Universal Pieces of Holographic Entanglement Entropy and Holographic Subregion Complexity
论文作者
论文摘要
我们建议，全息亚区域复杂性（HSC）的定义需要对扭曲的抗DE保姆（ADS）因子进行稍微修改。由于非平凡的Dilaton轮廓，可以在$ ADS_6 $ IIA型超级实力的解决方案中出现此类扭曲因素。该修改后的定义确保了HSC的通用部分与全息纠缠熵成正比，就像没有经翘曲因素的超级强烈解决方案一样。这也意味着，这两种数量的主要$ n $的领先行为都是相同的，正如我们在各个方面所展示的一些著名的超级实力解决方案（有或没有扭曲因素）。我们还表明，通用片段之间的这种关系表明，HSC的字段理论类似物与球形分区函数或Weyl $ a $ an-Anomaly在奇数甚至尺寸中分别为$。
We propose that the definition of holographic subregion complexity (HSC) needs a slight modification for supergravity solutions with warped anti-de Sitter (AdS) factors. Such warp factors can arise due to the nontrivial dilaton profile, for example, in $AdS_6$ solutions of type IIA supergravity. This modified definition ensures that the universal piece of the HSC is proportional to that of the holographic entanglement entropy, as is the case for supergravity solutions without warp factors. This also means that the leading behaviour at large $N$ is the same for both these quantities, as we show for some well-known supergravity solutions (with and without warp factors) in various dimensions. We also show that this relation between the universal pieces suggests "universal" relations between field theoretical analogue of HSC and the sphere partition function or Weyl $a$-anomaly in odd or even dimensions, respectively.
