On the Graviton Self Energy in AdS_4
Massimo Porrati, Andrei Starinets
TL;DR
This paper calculates the graviton self-energy in AdS_4 due to a free scalar CFT, revealing a unique gravitational Higgs phenomenon and identifying the system's spin-2 bound states.
Contribution
It provides an exact computation of the graviton self-energy in AdS_4 with a free scalar CFT, uncovering a novel gravitational Higgs mechanism absent in flat space.
Findings
Identification of the spectral representation of the graviton self-energy.
Discovery of a gravitational Higgs phenomenon unique to AdS space.
Determination of the spin-2 bound-state spectrum.
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.
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