Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-05-04
Phys.Rev.D65:064033,2002
Physics
High Energy Physics
High Energy Physics - Theory
29 pages, no figures, LaTeX
Scientific paper
10.1103/PhysRevD.65.064033
We study the stability of Freund-Rubin compactifications, AdS_p x M_q, of p+q-dimensional gravity theories with a q-form field strength and no cosmological term. We show that the general AdS_p x S^q 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 CFT's. Solutions with more general compact Einstein spaces need not be stable, and in particular AdS_p x S^n x S^{q-n} is unstable for q < 9 but is stable for q >= 9. We also study the AdS_4 x S^6 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.
DeWolfe Oliver
Freedman Daniel Z.
Gubser Steven S.
Horowitz Gary. T.
Mitra Indrajit
No associations
LandOfFree
Stability of AdS_p x M_q Compactifications Without Supersymmetry does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Stability of AdS_p x M_q Compactifications Without Supersymmetry, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Stability of AdS_p x M_q Compactifications Without Supersymmetry will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-492727