Massive AdS Supergravitons and Holography

Abstract

I compare two holographic mechanisms giving to the graviton a parametrically-small supersymmetric mass $m_g$ in Anti-de Sitter spacetime. In the context of bi-metric gravity these mechanisms couple `weakly' two initially decoupled superconformal theories by: (i) turning on a double-trace deformation, or (ii) gauging a common global symmetry. Superconformal invariance restricts the number of Poincaré supercharges to $N_Q\le 4$ for mechanism (i) and to $N_Q\le 8$ for mechanism (ii), and the AdS dimension to $D\le 5$. The putative effective supergravities are expected to break down in the $m_g\to 0$ limit at an intermediate scale between $m_g$ and $m_{\mathrm{Planck}}$. In a recently-proposed microscopic embedding of mechanism (ii) in string theory I show that $m_g=0$ is at infinite distance in moduli space, and I relate the breakdown of the effective theory to the condensation of unprotected spin-2 excitations in the string-theoretic description of the `holographic bridge'. The phenomenon is invisible in the weakly-coupled CFT side. I conjecture that similar phenomena should be at work in all cases.

19 pages, one figure. Minor corrections and amendments. Version to be published in JHEP

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