Abstract
Fibre inflation is a specific string theory construction based on the Large Volume Scenario that produces an inflationary plateau. We outline its relation to α-attractor models for inflation, with the cosmological sector originating from certain string theory corrections leading to α = 2 and α = 1/2. Above a certain field range, the steepening effect of higher-order corrections leads first to the breakdown of single-field slow-roll and after that to the onset of 2-field dynamics: the overall volume of the extra dimensions starts to participate in the effective dynamics. Finally, we propose effective supergravity models of fibre inflation based on an overline{D3} uplift term with a nilpotent superfield. Specific moduli dependent overline{D3} induced geometries lead to cosmological fibre models but have in addition a de Sitter minimum exit. These supergravity models motivated by fibre inflation are relatively simple, stabilize the axions and disentangle the Hubble parameter from supersymmetry breaking.
Highlights
The only relevant parameter for this class of models is the curvature of the hyperbolic moduli space, set by α [5]
We outline its relation to α-attractor models for inflation, with the cosmological sector originating from certain string theory corrections leading to α = 2 and α = 1/2
Fibre inflation can come with corrections to the kinetic function and scalar potential arising from string loop corrections [12,13,14] and/or higher superspace-derivative corrections [15]
Summary
Fibre inflation comprises a class of possible string theory models that rely on the existence of a fibre modulus in the Calabi-Yau compactification. In order to stabilize the overall volume, they rely on the large volume stabilization (LVS) mechanism. This requires the volume to be dominated by a single term, while including at least one blow-up mode. The volume is a flat direction at tree-level Both the total volume as well as the blow-up mode can be stabilized by the inclusion of perturbative α -corrections to the Kahler potential, and non-perturbative corrections to the superpotential:. ΧCY denotes the Euler characteristic of the Calabi-Yau manifold. This produces the well-known non-SUSY anti-de Sitter minimum of the LVS scenario, which is stabilized by a barrier that scales as V−3
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