Abstract
We study a generalized superconformal model that gives rise to a subcritical regime of $D$-term hybrid inflation. Exhibiting the model both in a Jordan frame and in the Einstein frame, the effective potential of the subcritical regime is derived in the Einstein frame. It turns out the inflaton-waterfall field dynamics leads to various types of inflaton potential. Consequently the tensor-to-scalar ratio is found to range from $10^{-4}$ ($10^{-3}$) to $0.1$ for getting 60 (50) $e$-folds before the end of inflation.
Highlights
Observations of the cosmic microwave background (CMB) radiation have provided important clues to solving the mysteries of the Universe
We study the subcritical regime of D-term hybrid inflation in a generalized superconformal model
While the model is formulated in the Einstein frame in the framework of the supergravity model, we show that it can be formulated in the extended form of the canonical superconformal supergravity model
Summary
Observations of the cosmic microwave background (CMB) radiation have provided important clues to solving the mysteries of the Universe. The superconformal version of the model has turned out to have the subcritical regime, and it has both the feature of the α attractor and natural inflation [12] Such multiple characteristics in the subcritical regime of D-term hybrid inflation are controlled by (approximate) symmetries of the Kähler potential and the superpotential. It can be embedded to the minimal supersymmetric standard model (and its extension) to give rich phenomenology, such as producing baryon asymmetry and dark matter and a characteristic pattern of neutrino masses [15] It is worth investigating the subcritical regime in the broad class of the inflation model. We study the subcritical regime of D-term hybrid inflation in a generalized superconformal model. Throughout this paper, we use the Planck unit, Mpl 1⁄4 1, unless otherwise stated, and the metric tensor gμν that gives ημν 1⁄4 diagð−1; 1; 1; 1Þ in the flat limit
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