Global D-brane models with stabilised moduli and light axions

TL;DR

This paper reviews methods to achieve globally consistent string compactifications with stabilized moduli and light axions, proposing a solution that embeds chiral models and results in an axiverse, exemplified by a toric Calabi-Yau example.

Contribution

It introduces a stabilisation mechanism compatible with chiral D-brane models, enabling global embeddings and predicting an axiverse, with a concrete toric Calabi-Yau example.

Findings

A stabilisation mechanism leads to an axiverse.

Global embeddings of chiral models are achievable.

Concrete example using toric geometry.

Abstract

We review recent attempts to try to combine global issues of string compactifications, like moduli stabilisation, with local issues, like semi-realistic D-brane constructions. We list the main problems encountered, and outline a possible solution which allows globally consistent embeddings of chiral models. We also argue that this stabilisation mechanism leads to an axiverse. We finally illustrate our general claims in a concrete example where the Calabi-Yau manifold is explicitly described by toric geometry.