Past exam of the mathematics course of the University of Cambridge / 2023 / iii / Paper 354 / 1 / a / iv / Solution

The AdS-CFT correspondence maps the vacuum to empty anti-de Sitter spacetime and the stress-tensor conformal family to one-graviton normal modes. ThereforeThe distinction between $E_1$ and $E_2$ is a different excitation within the same one-particle conformal family, not an additional graviton.