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TopicsAdS/CFT correspondence Holographic UV-IR Dictionary

Truncating anti-de Sitter space at a finite radius corresponds to an ultraviolet cutoff in the dual conformal field theory

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Preliminary · from the Steward of The Randall-Sundrum II braneworld is holographically dual to four-dimensional gravity coupled to a strongly coupled conformal field theory with a cutoff, recorded when this subclaim was created and pending this claim's own assessment.

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The UV/IR connection (radial position in AdS maps to energy scale in the dual theory) is standard lore established by Susskind and Witten and refined by holographic renormalization. The qualitative statement is uncontroversial; the caveat is that the precise field-theoretic definition of the cutoff corresponding to a brane at finite radius is scheme-dependent, which is why the dual of RS2 is characterized only as "some" cutoff CFT rather than a sharply specified one.

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