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We show that entanglement wedges relate to holographic entropy inequalities, protecting the Renormalization Group.
A bstract We show that every holographic entropy inequality can be recast in the form: ‘some entanglement wedges reach deeper in the bulk than some other entanglement wedges.’ When the inequality is saturated, the two sets of wedges reach equally deep. Because bulk depth geometrizes CFT scales, the inequalities enforce and protect the holographic Renormalization Group.
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Czech et al. (2026) studied this question.
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