
TL;DR
This paper explores the connection between strong subadditivity in boundary field theories and energy conditions in their holographic duals, analyzing static and dynamic cases with a focus on geometric interpretations.
Contribution
It provides new insights into how strong subadditivity relates to energy conditions in holography, extending understanding from static to time-dependent systems.
Findings
Strong subadditivity constrains energy conditions in holographic duals.
Geometric descriptions clarify the relationship between boundary entanglement and bulk energy conditions.
Results apply to both static and dynamic holographic configurations.
Abstract
We study in detail the relationship between strong subadditivity for a boundary field theory and energy conditions for its bulk dual in 2+1 dimensions. We provide a discussion of known facts and new results organized from the simplest case of a static system with collinear intervals to a time dependent one in a generic configuration, with particular focus on the holographic geometric description.
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