Consequences of moduli stabilization in the Einstein-Maxwell landscape.

A toy landscape sector is introduced as a compactification of the Einstein-Maxwell model on a product of two spheres. Features of the model include moduli stabilization, a distribution of the effective cosmological constant of the dimensionally reduced 1 + 1 spacetime, which is different from the analogous distribution of the Bousso-Polchinski landscape, and the absence of the so-called α* problem. This problem arises when the Kachru-Kallosh-Linde-Trivedi stabilization mechanism is naively applied to the states of the Bousso-Polchinski landscape. The model also contains anthropic states, which can be readily constructed without needing any fine-tuning.