Investigating the Stability of a Nonsupersymmetric Landscape

Details Investigating the Stability of a Nonsupersymmetric Landscape Investigating the Stability of a Nonsupersymmetric Landscape

2005-08-31

arxiv.org/abs/hep-th/0508238v3

Phys.Rev. D72 (2005) 126003

Physics

High Energy Physics

High Energy Physics - Theory

25 pages; (v2) typos corrected and reference added; (v3) typos corrected, version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.72.126003

We investigate the classical stability of non-supersymmetric Freund-Rubin compactifications of Type IIB string theory on a product of three-dimensional Einstein spaces A_3 x B_3 with both NS-NS and R-R three-form fluxes turned on through A_3 and B_3, and a zero axion. This results in a three parameter family of AdS_4 vacua, with localized sources such as anti-three-branes or orientifold planes required to cancel the R-R four-form tadpole. We scan the entire space of such solutions for perturbative stability and find that anti-three-branes are unstable to a Jeans-like instability. For orientifold compactifications, we derive a precise criterion which the three dimensional Einstein spaces have to satisfy in order to be stable.

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