More on the upper bound of holographic n-partite information

We show that there exists a huge amount of multipartite entanglement in holography by studying the upper bound for holographic n-partite information In that n - 1 fixed boundary subregions participate. We develop methods to find the n-th region E that makes In reach the upper bound. Through the explicit evaluation, it is shown that In, 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 In 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.