Supernatural inflation is an attractive model based on just a flat direction with soft supersymmetry breaking mass terms in the framework of supersymmetry. The beauty of the model is that it needs no fine-tuning. However, the prediction of the spectral index is nₛ1, in contrast to experimental data. In this paper, we discuss supernatural inflation with the spectral index reduced to nₛ=0.96 without any fine-tuning, considering the general feature that a flat direction is lifted by a nonrenormalizable term with an A-term.
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Lin et al. (2009) studied this question.
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