Impacts of supersymmetric higher derivative terms on inflation models in supergravity

Abstract

We show the effects of supersymmetric higher derivative terms on inflation models in supergravity. The results show that such terms generically modify the effective kinetic coefficient of the inflaton during inflation if the cut off scale of the higher derivative operators is sufficiently small. In such a case, the $\eta$-problem in supergravity does not occur, and we find that the effective potential of the inflaton generically becomes a power type potential with a power smaller than two.

16 pages, v2: references and comments added, some typos corrected

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• DBI action of real linear superfield in 4D $\mathcal{N}=1$ conformal supergravity
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