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- W2296616233 abstract "We study the realization of slow-roll inflation in $mathcal{N}=1$ supergravities where inflation is the result of the evolution of a single chiral field. When there is only one flat direction in field space, it is possible to derive a single-field effective field theory parametrized by the sound speed ${c}_{s}$ at which curvature perturbations propagate during inflation. The value of ${c}_{s}$ is determined by the rate of bend of the inflationary path resulting from the shape of the $F$-term potential. We show that ${c}_{s}$ must respect an inequality that involves the curvature tensor of the Kahler manifold underlying supergravity, and the ratio $M/H$ between the mass $M$ of fluctuations ortogonal to the inflationary path, and the Hubble expansion rate $H$. This inequality provides a powerful link between observational constraints on primordial non-Gaussianity and information about the $mathcal{N}=1$ supergravity responsible for inflation. In particular, the inequality does not allow for suppressed values of ${c}_{s}$ (values smaller than ${c}_{s}ensuremath{sim}0.4$) unless (a) the ratio $M/H$ is of order 1 or smaller, and (b) the fluctuations of mass $M$ affect the propagation of curvature perturbations by inducing on them a nonlinear dispersion relation during horizon crossing. Therefore, if large non-Gaussianity is observed, supergravity models of inflation would be severely constrained." @default.
- W2296616233 created "2016-06-24" @default.
- W2296616233 creator A5016351940 @default.
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- W2296616233 date "2016-09-01" @default.
- W2296616233 modified "2023-10-06" @default.
- W2296616233 title "Sound Speed of Primordial Fluctuations in Supergravity Inflation" @default.
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- W2296616233 doi "https://doi.org/10.1103/physrevlett.117.101301" @default.
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