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Properties of the contraction map for holographic entanglement entropy inequalities

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arxiv 2403.13283 v2 pith:HFOKQV2G submitted 2024-03-20 hep-th cs.DM

Ning Bao , Joydeep Naskar This is my paper · ORCID
classification hep-thcs.DM
keywords contractionentanglemententropyholographicinequalitiesactualargumentcandidate
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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.

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  1. The Holographic Multi-Entropy Cone

    hep-th 2026-06 accept novelty 7.0 of 10

    Holographic multi-entropy vectors form a rational polyhedral cone; its n=3,4 facets yield seven fundamental multi-entropy inequality orbits, with ordinary HEC facets arising as convex combinations of HMEC facets.

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