TY - JOUR
T1 - Stability of AdSp×Mq compactifications without supersymmetry
AU - DeWolfe, Oliver
AU - Freedman, Daniel Z.
AU - Gubser, Steven S.
AU - Horowitz, Gary T.
AU - Mitra, Indrajit
PY - 2002
Y1 - 2002
N2 - We study the stability of Freund-Rubin compactifications, AdS p×Mq, of (p + q)-dimensional gravity theories with a q-form field strength and no cosmological term. We show that the general AdSp×Sq 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 AdSp×Sn×Sq-n is unstable for q<9 but is stable for q≥9. We also study the AdS4×S6 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.
AB - We study the stability of Freund-Rubin compactifications, AdS p×Mq, of (p + q)-dimensional gravity theories with a q-form field strength and no cosmological term. We show that the general AdSp×Sq 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 AdSp×Sn×Sq-n is unstable for q<9 but is stable for q≥9. We also study the AdS4×S6 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.
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U2 - 10.1103/PhysRevD.65.064033
DO - 10.1103/PhysRevD.65.064033
M3 - Article
AN - SCOPUS:0037087898
SN - 1550-7998
VL - 65
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
IS - 6
M1 - 064033
ER -