To insert individual citation into a bibliography in a word-processor,
select your preferred citation style below and drag-and-drop it into the document.
We study the stability of Freund-Rubin compactifications, AdSpÃMq, of (p+q)-dimensional gravity theories with a q-form field strength and no cosmological term. We show that the general AdSpÃSq vacuum is classically stable against small fluctuations, in the sense that all modes satisfy the Breitenlohner-Freedman bound. In particular, the compactifications used in the recent discussion of the proposed bosonic M theory are perturbatively stable. Our analysis treats all modes arising from the graviton and the q form, and is completely independent of supersymmetry. From the masses of the linearized perturbations, we obtain the dimensions of some operators in possible holographic dual CFTâs. Solutions with more general compact Einstein spaces need not be stable, and in particular AdSpÃSnÃSq-n is unstable for q<9 but is stable for q>~9. We also study the AdS4ÃS6 compactification of massive type IIA supergravity, which differs from the usual Freund-Rubin compactification in that there is a cosmological term already in ten dimensions. This nonsupersymmetric vacuum is unstable.
CiteULike organises scholarly (or academic) papers or literature and provides bibliographic
(which means it makes bibliographies) for universities and higher education establishments.
It helps undergraduates and postgraduates. People studying for PhDs or in postdoctoral (postdoc) positions.
The service is similar in scope to EndNote or RefWorks or any other reference manager
like BibTeX, but it is a social bookmarking service for scientists and humanities researchers.