Entanglement Entropy Inequalities in BCFT by Holography
Chia-Jui Chou, Bo-Han Lin, Bin Wang, Yi Yang

TL;DR
This paper investigates entanglement entropy inequalities in boundary conformal field theories using holographic methods, establishing key inequalities at various temperatures through comprehensive configuration analysis.
Contribution
It provides a rigorous proof of strong subadditivity and monogamy of mutual information in holographic BCFTs, including finite temperature cases.
Findings
Proved strong subadditivity in holographic BCFTs.
Established monogamy of mutual information in BCFT.
Validated inequalities at both zero and finite temperatures.
Abstract
We study entanglement entropy inequalities in boundary conformal field theory (BCFT) by holographic correspondence. By carefully classifying all the configurations for different phases, we prove the strong subadditiviy and the monogamy of mutual information for holographic entanglement entropy in BCFT at both zero and finite temperatures
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