On the Graviton Self Energy in AdS_4

Abstract

We consider Einstein gravity coupled to a CFT made of a single free conformal scalar in 4-d Anti de Sitter space. This simple case is rich enough to explain an unexpected gravitational Higgs phenomenon that has no flat-space counterpart, yet simple enough that many calculations can be carried on exactly. Specifically, in this paper we compute the graviton self energy due to matter, and we exhibit its spectral representation. This enables us to find the spin-2 bound-state content of the system.

8 pages, LaTeX

References in corpus (1)

• Locally Localized Gravity

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• Entropy of Radiation with Dynamical Gravity
• Invariant Differential Operators and Characters of the AdS_4 Algebra