Abstract
One interpretation of proton stability is that it implies the existence of extra-flatdirections of the minimal supersymmetric standard model, in particularucucdcec and QQQL, where the operators lifting the potential are suppressed by a mass scaleΛ which is much larger than the Planck mass, . Using D-term hybrid inflation as an example, we show that such flat directions can serve as theinflaton in supersymmetric inflation models. The resulting model is a minimal version ofD-term inflation which requires the smallest number of additional fields. In the case whereQ-balls form from the extra-flat direction condensate after inflation, successful Affleck–Dinebaryogenesis is possible if the suppression mass scale is . In this case the reheating temperature fromQ-ball decay isin the range 3–100 GeV, while observable baryon isocurvature perturbations and non-thermaldark matter are possible. In the case of extra-flat directions with a larget squark component,there is no Q-ball formation and reheating is via conventional condensatedecay. In this case the reheating temperature is in the range1–100 TeV,naturally evading thermal gravitino overproduction while allowing sphaleron erasure of any largeB–L asymmetry.
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