On the Monogamy of Holographic $n$-partite Information

TL;DR

This paper studies the monogamy properties of holographic n-partite information in AdS geometries, revealing that 4-partite information is always positive and 5-partite information is negative in certain holographic duals, indicating monogamy.

Contribution

It provides the first detailed analysis of the sign and phase transitions of holographic n-partite information for multiple disjoint regions in AdS and AdS black brane backgrounds.

Findings

Holographic 4-partite information is always positive.

Holographic 5-partite information is negative in 1+1 dimensional CFT.

Identified critical points for phase transitions of these quantities.

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.