Renormalization Group is the principle behind the Holographic Entropy Cone

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.