Stability in asymptotically AdS spaces

Matthew Kleban, Massimo Porrati, Raul Rabadan

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We discuss two types of instabilities which may arise in string theory compactified to asymptotically AdS spaces: perturbative, due to discrete modes in the spectrum of the laplacian, and non-perturbative, due to brane nucleation. In the case of three dimensional Einstein manifolds, we completely characterize the presence of these instabilities, and in higher dimensions we provide a partial classification. The analysis may be viewed as an extension of the Breitenlohner-Freedman bound. One interesting result is that, apart from a very special class of exceptions, all euclidean asymptotically AdS spaces with more than one conformal boundary component are unstable, if the compactification admits BPS branes or scalars saturating the Breitenlohner-Freedman bound. As examples, we analyze quotients of AdS in any dimension and AdS Taub-NUT spaces, and show a space which was previously discussed in the context of AdS/CFT is unstable both perturbatively and non-perturbatively.

    Original languageEnglish (US)
    Pages (from-to)433-449
    Number of pages17
    JournalJournal of High Energy Physics
    Issue number8
    DOIs
    StatePublished - Aug 1 2005

    Keywords

    • AdS-CFT and dS-CFT Correspondence
    • D-branes

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

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