The Kreuzer-Skarke Axiverse
Mehmet Demirtas, Cody Long, Liam McAllister, Mike Stillman

TL;DR
This study analyzes the topological features of a large class of Calabi-Yau threefolds, revealing how their geometric properties influence string compactification and the presence of ultralight axions.
Contribution
It provides a comprehensive dataset of two million Calabi-Yau threefolds and uncovers the relationship between their Kähler cone geometry and axion physics in string theory.
Findings
Kähler cone is very narrow at large h^{1,1}
Control of α' expansion correlates with ultralight axions
Cycle volumes scale polynomially with h^{1,1} depending on cycle type
Abstract
We study the topological properties of Calabi-Yau threefold hypersurfaces at large . We obtain two million threefolds by triangulating polytopes from the Kreuzer-Skarke list, including all polytopes with . We show that the K\"ahler cone of is very narrow at large , and as a consequence, control of the expansion in string compactifications on is correlated with the presence of ultralight axions. If every effective curve has volume in string units, then the typical volumes of irreducible effective curves and divisors, and of itself, scale as , with depending on the type of cycle in question. Instantons from branes wrapping these cycles are thus highly suppressed.
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