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Pole inflation and primordial black holes formation in Starobinsky-like supergravity

Shuntaro AokiRyotaro IshikawaSergei V. Ketov
Oct 2022
摘要
We extend the Cecotti-Kallosh model of Starobinsky inflation in supergravityby adding a holomorphic function to the superpotential in order to generate alarge peak in the power spectrum of scalar (curvature) perturbations. In ourapproach, the singular non-canonical kinetic terms are largely responsible forinflation (as an attractor solution), whereas the superpotential is engineeredto generate a production of primordial black holes. We study the cases with (i)a linear holomorphic function, (ii) a quadratic holomorphic function, and (iii)an exponential holomorphic function, as regards the dependence of inflation andprimordial black holes production upon parameters of those functions andinitial conditions, as well as verify viability of inflation with oursuperpotentials. We find that an efficient production of primordial black holesconsistent with CMB measurements is only possible in the second (ii) case. Wecalculate the masses of the produced primordial black holes and find that theyare below the Hawking (black hole) evaporation limit, so that they cannot bepart of the current dark matter in our Universe.
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