On the Monogamy of Holographic $n$-partite Information

Abstract

We investigate the monogamy of holographic $n$-partite information for a system consisting of $n$ disjoint parallel strips with the same width and separation in AdS and AdS black brane geometries. More precisely, we study the sign of this quantity, \emph{e.g.} for $n=4,5$, in various dimensions and for different parameters. Our results show that for quantum field theories with holographic duals, the holographic 4-partite information is always positive and the sign of holographic 5-partite information is found to be negative in the dual strongly coupled $1+1$ dimensional CFT. This latter result indicates that the holographic 4-partite information is monogamous. We also find the critical points corresponding to the possible phase transitions of these quantities.

arXiv comment16 pages, typos corrected, Ref.s added, Discussions improved, accepted for publication in PRD

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• On universal terms of holographic entanglement entropy in theories with hyperscaling violation
• Holographic n-partite Information in Hyperscaling Violating Geometry
• More on entanglement properties of $Li{f}_4^{(2)}\times S^1\times S^5$ spacetime with string excitations
• New insights on mutual information in the island approach to the Page curve
• Higher-curvature Corrections to Holographic Entanglement with Momentum Dissipation