Inflation with racetrack superpotential and matter field

Understand

Several models of inflation with the racetrack superpotential for the volume modulus coupled to a matter field are investigated.

• In particular, it is shown that two classes of racetrack inflation models, saddle point and inflection point ones, can be constructed in a fully supersymmetric framework with the matter field F-term as a source of supersymmetry breaking and uplifting.
• Two models of F-term supersymmetry breaking are considered: the Polonyi model and the quantum corrected O'Raifeartaigh model.
• In the former case, both classes of racetrack inflation models differ significantly from the corresponding models with non-supersymmetric uplifting.