Properties of the contraction map for holographic entanglement entropy inequalities

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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Publication Details

Journal
OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)
Published
2024-11-20
DOI
https://doi.org/10.1007/jhep06%282024%29039
Citations
6
Primary Topic
Black Holes and Theoretical Physics
Type
article

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article

Properties of the contraction map for holographic entanglement entropy inequalities

Ning Bao
6 citations
OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)
Black Holes and Theoretical Physics
article

Properties of the contraction map for holographic entanglement entropy inequalities

Ning Bao
article en
6 citations

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.

OSTI OAI (U.S. Department of Energy Office of Scientific and Technical Information)
Northeastern University (US), Brookhaven National Laboratory (US)
U.S. Department of Energy, Brookhaven National Laboratory
Reduced inequalities
Black Holes and Theoretical Physics
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