Consequences of moduli stabilization in the Einstein-Maxwell landscape

TL;DR

This paper introduces a toy model of the Einstein-Maxwell landscape with stabilized moduli, highlighting differences from the Bousso-Polchinski landscape and demonstrating the presence of anthropic states without fine-tuning.

Contribution

It presents a simplified compactification model that achieves moduli stabilization and avoids the alpha-star problem, offering insights into landscape distributions and anthropic states.

Findings

Distribution of cosmological constant differs from Bousso-Polchinski landscape

Moduli stabilization is successfully achieved in the toy model

Anthropic states can be constructed without fine-tuning

Abstract

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 "alpha-star"-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.