Related papers: Black hole as a multipartite entangler: multi-entropy in AdS${}_3$/CFT${}

Black hole as a multipartite entangler: multi-entropy in AdS${}_3$/CFT${}_2$

URL: http://arxiv.org/abs/2512.21037v1
Date: Wed, 24 Dec 2025 08:03:55 GMT
Title: Black hole as a multipartite entangler: multi-entropy in AdS${}_3$/CFT${}_2$
Authors: Takanori Anegawa, Shota Suzuki, Kotaro Tamaoka,
Abstract summary: We study multipartite entanglement in typical pure states holographically dual to pure BTZ black holes.<n>We find that at sufficiently high temperature, the genuine tripartite multi-entropy exhibits a volume-law scaling in sharp contrast to vacuum AdS$_3$.
Score: 0.11470070927586014
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We study multipartite entanglement in typical pure states holographically dual to pure BTZ black holes, using multi-entropy and its ``genuine'' version. In the bulk, these quantities are computed by minimal geodesic networks (so-called Steiner trees). We find that at sufficiently high temperature, the genuine tripartite multi-entropy exhibits a volume-law scaling in sharp contrast to vacuum AdS$_3$, where the genuine contribution is universal and size-independent. Moreover, we find another phase: once one subsystem exceeds half of the total system, the leading genuine tripartite entanglement vanishes and reduces to that for global AdS${}_3$. This transition is indeed consistent with recent arguments for distillable EPR pairs in tripartite Haar-random states. Motivated by finite-cutoff holography, we further study the radial cutoff dependence of multi-entropy and show that genuine multi-entropy acquires nontrivial size dependence even for the tripartite case in AdS${}_3$. As a byproduct, we also observe an intriguing ``area-law'' contribution to multi-entropy that is relevant to vacuum AdS${}_3$.

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