Higher Derivative D-term Inflation in New-minimal Supergravity

Abstract

We revisit the D-term inflation and amend it with ghost-free higher derivative couplings of chiral superfields to super-curvature. These couplings realize a more generic inflationary phase in supergravity. After pointing out that a consistent embedding of these specific higher derivatives is known to exist only in the new-minimal supergravity, we show how a potential for the scalar component may arise due to a Fayet-Iliopoulos D-term. We then turn to inflationary cosmology and explicitly discuss different types of potentials, which capture properties of the common scenarios. These models thanks to the derivative coupling: i) naturally evade the supergravity $\eta$-problem, ii) drive inflation for a wider range of parameter values, and iii) predict lower values for the tensor-to-scalar ratio.

plain text, 12 pages, PLB Journal version

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• More on DBI action in 4D $\mathcal{N}=1$ supergravity
• ${\mathcal{R}}^2$ Supergravity
• Non-minimal derivative couplings and inflation in supergravity