Inflating in perturbative LVS: Global Embedding and Robustness

TL;DR

This paper presents a global embedding of an inflationary model within the perturbative LVS framework, analyzing its robustness against various string loop and higher derivative corrections in a specific Calabi-Yau compactification.

Contribution

It provides the first explicit global construction of an LVS inflation model with detailed correction analysis, enhancing understanding of its stability and viability.

Findings

The inflationary potential remains flat under certain corrections.

Explicit expressions for sub-leading corrections are derived.

The model demonstrates robustness against specific string loop and higher derivative effects.

Abstract

The perturbative LARGE volume scenario (LVS) is a promising moduli stabilisation scheme in which the overall volume modulus of the compactifying Calabi-Yau (CY) threefold is dynamically stabilised to exponentially large values via using only perturbative corrections. In this article, using an orientifold of a K3-fibred CY threefold, we present the global embedding of an inflationary model proposed in the framework of perturbative LVS, in which the overall volume modulus acts as the inflaton field rolling on a nearly flat potential induced by a combination of the ${\alpha^\prime}^3$-corrections and the so-called {\it log-loop} effects. Given that having a concrete global construction facilitates explicit expressions for a set of sub-leading corrections, as a next step, we present a detailed analysis investigating the robustness of the single-field inflationary model against such corrections, in particular those arising from the winding-type string loop corrections and the higher derivative F$^4$-corrections.