$AdS$ Vacua from Dilaton Tadpoles and Form Fluxes

Abstract

We describe how unbounded three--form fluxes can lead to families of $Ad{S}_3\times S_7$ vacua, with constant dilaton profiles, in the $USp(32)$ model with "brane supersymmetry breaking" and in the $U(32)$ 0'B model, if their (projective--)disk dilaton tadpoles are taken into account. We also describe how, in the $SO(16)\times SO(16)$ heterotic model, if the torus vacuum energy $\Lambda$ is taken into account, unbounded seven--form fluxes can support similar $Ad{S}_7\times S_3$ vacua, while unbounded three--form fluxes, when combined with internal gauge fields, can support $Ad{S}_3\times S_7$ vacua, which continue to be available even if $\Lambda$ is neglected. In addition, special gauge field fluxes can support, in the $SO(16)\times SO(16)$ heterotic model, a set of $Ad{S}_n\times S_{10-n}$ vacua, for all $n=2,..,8$. String loop and ${\alpha }^{\prime }$ corrections appear under control when large form fluxes are allowed.

13 pages, LaTeX. References added. Final version to appear in Phys. Lett. B

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