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<p>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.</p>

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Renormalization group is the principle behind the holographic entropy cone

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月17日

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  • Bartłomiej Czech,
  • Sirui Shuai

摘要

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.