Global Embedding of Fibre Inflation Models

TL;DR

This paper constructs explicit models of fibre inflation within globally consistent type IIB Calabi-Yau orientifolds, demonstrating how to stabilize moduli and generate inflation-driving potentials with detailed string-theoretic ingredients.

Contribution

It provides the first systematic embedding of fibre inflation models in explicit, globally consistent Calabi-Yau compactifications with detailed moduli stabilization mechanisms.

Findings

Identified Calabi-Yau manifolds suitable for fibre inflation embedding.

Developed brane configurations generating appropriate superpotentials.

Analyzed higher derivative effects on inflationary dynamics.

Abstract

We present concrete embeddings of fibre inflation models in globally consistent type IIB Calabi-Yau orientifolds with closed string moduli stabilisation. After performing a systematic search through the existing list of toric Calabi-Yau manifolds, we find several examples that reproduce the minimal setup to embed fibre inflation models. This involves Calabi-Yau manifolds with $h^{1,1}= 3$ which are K3 fibrations over a $\mathbb{P}^1$ base with an additional shrinkable rigid divisor. We then provide different consistent choices of the underlying brane set-up which generate a non-perturbative superpotential suitable for moduli stabilisation and string loop corrections with the correct form to drive inflation. For each Calabi-Yau orientifold setting, we also compute the effect of higher derivative contributions and study their influence on the inflationary dynamics.