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Journal Article
The Kreuzer-Skarke axiverse
2020
Overview
A
bstract
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 ≲
p
≲ 7 depending on the type of cycle in question. Instantons from branes wrapping these cycles are thus highly suppressed.
Publisher
Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
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