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We describe the coupling of matter fields to an inflationary sector of supergravity, the inflaton $\Phi$ and a stabilizer $S$, in models where the Kahler potential has a flat inflaton direction.
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J. J. M. Carrasco, R. Kallosh and A. Linde, “Inflatino-less Cosmology,” arXiv:1512.00546 [hep-th]
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R. Kallosh, A. Linde, D. Roest, and T. Wrase, in preparation
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