The Kreuzer-Skarke axiverse
By M. Demirtaş, Cody Long, Liam McAllister, Michael Stillman. Journal of High Energy Physics, 2018
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We study the topological properties of Calabi-Yau threefold hypersurfaces at large h1,1. We obtain two million threefolds X by triangulating polytopes from the Kreuzer-Skarke list, including all polytopes with 240 ≤ h1,1 ≤ 491. We show that the Kähler cone of X is very narrow at large h1,1, 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 (h1,1)p, with 3 ≲ p ≲ 7 depending on the type of cycle in question. Instantons from branes wrapping these cycles are thus highly suppressed.
Subfields: Astronomy and Astrophysics, Geometry and Topology, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/cd595255cf0488c693768eb5aba72b426e7cabad
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Citations in the corpus
- Recent Progress in the Physics of Axions and Axion-Like Particles (2020, background): “We also note that the exponentially enlarged ∆aL ∝ qN−N1 can easily overcome the possible suppression of f0 ∝ 1/Np (p = 3−4) which was observed for some string theory axions in [150].”