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$\text{AdS}_{n}/\text{CFT}_{n-1}$ correspondence provides a dictionary for one-to-one mapping observables in bulk gravity to boundary conformal field theories. However, does the reverse correspondence hold, in the sense that gravity is in boundary while $\text{CFT}$ is in bulk?

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No, the DOF of a (possibly conformal) QFT scales with volume, while black hole thermodynamics suggests that the DOF of gravity scales with area, so gravity has to be in the bulk in order for the holographic principle to have a chance of working.

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