Towards Systematics of Calabi-Yau Landscape for String Cosmology
Abstract
In this review, we discuss the relevance and impact of studying Calabi-Yau threefolds in the context of global model building in string phenomenology. First, taking a phenomenologist-friendly approach, we review how the topologies of the various divisors and curves of the compactifying CY threefolds play a crucial role for generating the various ``suitable" classes of effective scalar potentials, within the framework of the popular moduli stabilization schemes such as KKLT and LVS. Subsequently, we discuss the impact of the specifics of the CY threefold geometries in the minimal LVS inflationary models such as fibre inflation, in particular, along the challenges such as the inflaton field-range bound. In this regard, we discuss a multi-field approach in which several fibre moduli assist to drive successful inflation having a sufficient number of efolds, without getting close to their individual K\"ahler cone boundaries.
Keywords
Cite
@article{arxiv.2604.28189,
title = {Towards Systematics of Calabi-Yau Landscape for String Cosmology},
author = {George K. Leontaris and Pramod Shukla},
journal= {arXiv preprint arXiv:2604.28189},
year = {2026}
}
Comments
19 pages; Contribution to the BIRS-CMI workshop "Recent Progress in Computational String Geometry" held during January 26-31, 2026 at Chennai Mathematical Institute (CMI), Chennai