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]

Read more

Summary

Volume stabilization

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

Kinetic terms and pole inflation structure
Loop corrections
Higher superspace-derivative corrections
Scalar potential and dynamics from loop corrections: the generic case
Loop corrections — the idealized case: infinite plateau
F 4 corrections — the idealized case: infinite plateau
General relation to α-attractors
D3 induced geometric fibre model
Discussion
A Fusion rule of α
B Volume moduli dependence of fibre inflation with two moduli
C T-model

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.