Towards Systematics of Calabi-Yau Landscape for String Cosmology
George K. Leontaris, Pramod Shukla
TLDR
This review explores how Calabi-Yau threefolds' topology and geometry impact string cosmology, particularly in moduli stabilization and inflationary models.
Key contributions
- Explores Calabi-Yau threefold topologies for effective scalar potentials in string moduli stabilization (KKLT, LVS).
- Analyzes CY geometries' impact on LVS inflationary models, addressing inflaton field-range limitations.
- Introduces a multi-field approach using fibre moduli to achieve successful inflation without Kähler cone boundary issues.
Why it matters
This review systematizes the role of Calabi-Yau manifolds in string theory, bridging theoretical geometry with practical challenges in cosmological model building. It offers new avenues for robust inflationary models, addressing critical field-range bounds.
Original 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 Kähler cone boundaries.
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