Properties of the contraction map for holographic entanglement entropy inequalities

Abstract

We present a deterministic way of finding contraction maps for candidate holographic entanglement entropy inequalities modulo choices due to actual degeneracy. We characterize its complexity and give an argument for the completeness of the contraction map proof method as a necessary and sufficient condition for the validity of an entropy inequality for holographic entanglement.

Journal version

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• Topological entanglement entropy meets holographic entropy inequalities