The Kreuzer-Skarke Axiverse

2018/08/03 by Demirtas, Mehmet, Long, Cody, McAllister, Liam +1 · 15 citations
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1808.01282

Abstract

We study the topological properties of Calabi-Yau threefold hypersurfaces at large h^1,1. We obtain two million threefolds X by triangulating polytopes from the Kreuzer-Skarke list, including all polytopes with 240 ≤ h^1,1≤ 491. We show that the Kähler cone of X is very narrow at large h^1,1, and as a consequence, control of the α^′ expansion in string compactifications on X is correlated with the presence of ultralight axions. If every effective curve has volume ≥ 1 in string units, then the typical volumes of irreducible effective curves and divisors, and of X itself, scale as (h^1,1)^p, with 3\lesssim p \lesssim 7 depending on the type of cycle in question. Instantons from branes wrapping these cycles are thus highly suppressed.

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