Genuine multientropy and holography

Is bipartite entanglement sufficient for holography? Through the analysis of the Markov gap, it is known that the answer is no. In this paper, we give a new perspective on this issue from a different angle using a multientropy. We define a genuine q-partite multientropy from a q-partite multientropy by subtracting appropriate linear combinations of q˜-partite multientropies for q˜q, in such a way that the genuine q-partite multientropy vanishes for all q˜-partite entangled states. After studying several aspects, we apply it to black holes and holography. For the application to black holes, we see that such a genuine q-partite multientropy is important only after the Page time. For the application to holography, we prove that nonbipartite multientropies are always positive and O(1/GN), as long as boundary subregions are connected. This indicates that for holography, genuine multipartite entanglement is not small and plays an important role.