Abstract
We investigate the monogamy of holographic -partite information for a system consisting of 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, e.g., for , 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 dimensional conformal field theory. 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.
4 More- Received 16 March 2016
DOI:https://doi.org/10.1103/PhysRevD.93.104049
© 2016 American Physical Society