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arXiv · 2601.02472

Renormalization Group Is the Principle behind the Holographic Entropy Cone

Bartlomiej Czech·Sirui Shuai
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Abstract

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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Bartlomiej Czech, Sirui Shuai. 2026-01-10. Renormalization Group Is the Principle behind the Holographic Entropy Cone. https://arxiv.org/abs/2601.02472

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