Abstract
We utilize a recently proposed cubic nilpotent superfield to realize inflation in supergravity with the minimal degrees of freedom: the inflaton, graviton, and massive gravitino. As an advantage, the resultant model is free from the catastrophic production of gravitinos due to its vanishing propagation speed. However, the model suffers from the standard gravitino problem, and its viability depends on the mass spectrum and the thermal history of the universe.
Highlights
If the fundamental theory has supersymmetry, its cosmological application involves supergravity and its spontaneous breaking
The model suffers from the standard gravitino problem, and its viability depends on the mass spectrum and the thermal history of the Universe
Supersymmetry breaking in cosmology can be triggered by any positive energy density, such as the kinetic and/or potential energy of a scalar field and a thermal environment
Summary
If the fundamental theory has supersymmetry, its cosmological application involves supergravity and its spontaneous breaking. The analysis of the gravitino production after inflation can be significantly simplified given that the diagonalization between the gravitino-inflatino system [41,42,43,44] is no longer needed Such a setup involves the minimal degrees of freedom for inflation in supergravity: the (real) inflaton, gravitons, and massive gravitino. It has been studied in terms of the component fields [45] We realize inflation in supergravity with minimal degrees of freedom without the problem of the catastrophic gravitino production due to the change of the sound speed by utilizing the new constrained superfield of Ref. We use the mostly plus sign convention for the metric and the reduced Planck unit c 1⁄4 ħ 1⁄4 MPð≡ð8πGÞ−1=2Þ 1⁄4 1, except when an explicit appearance of MP may help
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