标题： 全息n重信息的上界进一步研究 显示英文标题

标题： More on the upper bound of holographic n-partite information

摘要： 我们通过研究全息理论中 holographic$n$-partite information$I_n$的上界，证明了全息理论中存在大量的多体纠缠，其中$n-1$固定边界子区域参与。我们开发了方法来寻找使$I_n$达到上界的$n$-th 区域$E$。 通过显式计算，可以看出$I_n$，一个没有紫外发散的IR项，在区域$E$中区间或条带数量趋近于无穷大时可能会发散。 在这种上限配置下，我们可以认为$I_n$完全来自于$n-$部分的整体量子纠缠。 我们的结果表明：全息理论中的少部分子纠缠来源于多部分子纠缠；$n-1$远距离局部子区域之间具有高度的$n$-部分子纠缠。 此外，还揭示了边界子区域的凸性与其参与的多部分子纠缠之间的关系，以及不同维度中多部分子纠缠结构的差异。 显示英文摘要

摘要： We show that there exists a huge amount of multipartite entanglement in holography by studying the upper bound for holographic $n$-partite information $I_n$ that $n-1$ fixed boundary subregions participate. We develop methods to find the $n$-th region $E$ that makes $I_n$ reach the upper bound. Through the explicit evaluation, it is shown that $I_n$, an IR term without UV divergence, could diverge when the number of intervals or strips in region $E$ approaches infinity. At this upper bound configuration, we could argue that $I_n$ fully comes from the $n-$partite global quantum entanglement. Our results indicate: fewer-partite entanglement in holography emerges from more-partite entanglement; $n-1$ distant local subregions are highly $n$-partite entangling. Moreover, the relationship between the convexity of a boundary subregion and the multipartite entanglement it participates, and the difference between multipartite entanglement structure in different dimensions are revealed as well.