Negative curvature sustains tracker-like radion evolution in a 5D open FRW universe, enabling trapping into a compactified vacuum via Casimir and Kaluza-Klein thermal effects before 4D inflation dilutes curvature remnants.
Volume Modulus Inflation and the Gravitino Mass Problem
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abstract
The Hubble constant during the last stages of inflation in a broad class of models based on the KKLT mechanism should be smaller than the gravitino mass, H <~ m_{3/2}. We point out that in the models with large volume of compactification the corresponding constraint typically is even stronger, H <~ m_{3/2}^{3/2}, in Planck units. In order to address this problem, we propose a class of models with large volume of compactification where inflation may occur exponentially far away from the present vacuum state. In these models, the Hubble constant during inflation can be many orders of magnitude greater than the gravitino mass. We introduce a toy model describing this scenario, and discuss its strengths and weaknesses.
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Multi-field fibre inflation in perturbative LVS uses collective dynamics of several moduli to achieve viable cosmology with sub-Planckian individual field ranges given by total range divided by sqrt(n).
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Curvature-Assisted Dynamical Compactification in a Pre-Inflationary Higher-Dimensional Universe
Negative curvature sustains tracker-like radion evolution in a 5D open FRW universe, enabling trapping into a compactified vacuum via Casimir and Kaluza-Klein thermal effects before 4D inflation dilutes curvature remnants.
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Assisted Fibre Inflation in Perturbative LVS
Multi-field fibre inflation in perturbative LVS uses collective dynamics of several moduli to achieve viable cosmology with sub-Planckian individual field ranges given by total range divided by sqrt(n).