A geometrical upper bound on the inflaton range

• DOI: 10.1007/jhep05(2018)001
• Publication Date: 2018-05-18T03:38:47Z
• Authors: Michele Cicoli; David Ciupke; Christoph Mayrhofer; Pramod Shukla
• Keywords: Hypersurface; Calabi–Yau manifold

A bstract We argue that in type IIB LVS string models, after including the leading order moduli stabilisation effects, space for remaining flat directions is compact due Calabi-Yau Kähler cone conditions. In cosmological applications, this gives an inflaton field range which bounded from above, analogy with recent results weak gravity and swampland conjectures. support our claim by explicitly showing it holds all vacua h 1,1 = 3 obtained 4-dimensional reflexive polytopes. particular, we first search threefolds Kreuzer-Skarke list 2, 4 allow vacua, finding several new geometries were so far unknown. then focus on cases show cones of toric hypersurface force effective 1-dimensional to be compact. find size can generically trans-Planckian only K3 fibred examples.