Global D–brane models with stabilised moduli and light axions

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.